Philippe G. Ciarlet

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All published works

Action	Title	Year	Authors
+	An obstacle problem for flexural shells	2021	Philippe G. Ciarlet Paolo Piersanti
+	Locally Convex Spaces and Harmonic Analysis: An Introduction	2021	Philippe G. Ciarlet
+	Continuity in Fréchet topologies of a surface as a function of its fundamental forms	2019	Philippe G. Ciarlet Maria Mălin Cristinel Mardare
+ PDF Chat	Continuity of a surface in Fréchet spaces	2019	Philippe G. Ciarlet Maria Mălin Cristinel Mardare
+	A confinement problem for a linearly elastic Koiter's shell	2019	Philippe G. Ciarlet Paolo Piersanti
+	A surface in W2p is a locally Lipschitz-continuous function of its fundamental forms in W1p and Lp, p> 2	2019	Philippe G. Ciarlet Cristinel Mardare
+	A surface in W2, is a locally Lipschitz-continuous function of its fundamental forms in W1, and L, p > 2	2018	Philippe G. Ciarlet Cristinel Mardare
+	On a vector version of a fundamental Lemma of J. L. Lions	2018	Philippe G. Ciarlet Maria Mălin Cristinel Mardare
+	W2,p-estimates for surfaces in terms of their two fundamental forms	2017	Philippe G. Ciarlet Cristinel Mardare
+	Recovery of immersions from their metric tensors and nonlinear Korn inequalities: A brief survey	2017	Philippe G. Ciarlet Cristinel Mardare Sorin Mardare
+	Nonlinear Korn inequalities in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math> and immersions in W2,, p>n, considered as functions of their metric tensors in W1,	2016	Philippe G. Ciarlet Sorin Mardare
+	Une inégalité de Korn non linéaire dans<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:msup><mml:mrow><mml:mi>W</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:math>,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi>p</mml:mi><mml:mo>></mml:mo><mml:mi>n</mml:mi></mml:math>	2015	Philippe G. Ciarlet Sorin Mardare
+	New identity and Korn's inequalities on a surface	2015	Philippe G. Ciarlet Yifeng Hou Cristinel Mardare
+	A nonlinear Korn inequality in W^{2,p}, p>n (Une inégalité de Korn non linéaire dans W^{2,p}, p>n)	2015	Philippe G. Ciarlet Sorin Mardare
+	On a lemma of Jacques-Louis Lions and its relation to other fundamental results	2014	Chérif Amrouche Philippe G. Ciarlet Cristinel Mardare
+	Partial differential equations : theory, control and approximation : in honor of the scientific heritage of Jacques-Louis Lions	2014	Philippe G. Ciarlet Tatsien Li Yvon Maday
+	Partial Differential Equations: Theory, Control and Approximation	2013	Philippe G. Ciarlet Tatsien Li Yvon Maday
+	Operator equations and duality mappings in Sobolev spaces with variable exponents	2013	Philippe G. Ciarlet George Dincă Pavel Matei
+	Linear and Nonlinear Functional Analysis with Applications	2013	Philippe G. Ciarlet
+	FRÉCHET DIFFERENTIABILITY OF THE NORM IN A SOBOLEV SPACE WITH A VARIABLE EXPONENT	2012	Philippe G. Ciarlet George Dincă Pavel Matei
+	ON THE NEWTON–KANTOROVICH THEOREM	2012	Philippe G. Ciarlet Cristinel Mardare
+ PDF Chat	Nonlinear Saint-Venant compatibility conditions for nonlinearly elastic plates	2011	Philippe G. Ciarlet Sorin Mardare
+	A notion of polyconvex function on a surface suggested by nonlinear shell theory	2011	Philippe G. Ciarlet Radu Gogu Cristinel Mardare
+	A Poincaré inequality in a Sobolev space with a variable exponent	2011	Philippe G. Ciarlet George Dincă
+	On Korn’s inequality	2010	Philippe G. Ciarlet
+ PDF Chat	WEAK VECTOR AND SCALAR POTENTIALS: APPLICATIONS TO POINCARÉ'S THEOREM AND KORN'S INEQUALITY IN SOBOLEV SPACES WITH NEGATIVE EXPONENTS	2010	Chérif Amrouche Philippe G. Ciarlet Patrick Ciarlet
+	A generalization of the classical Cesàro–Volterra path integral formula	2009	Philippe G. Ciarlet Liliana Gratie Cristinel Mardare
+ PDF Chat	A new approach to the fundamental theorem of surface theory, by means of the Darboux–Vallée–Fortuné compatibility relation	2009	Philippe G. Ciarlet Oana Iosifescu
+ PDF Chat	Justification of the Darboux–Vallée–Fortuné compatibility relation in the theory of surfaces	2008	Philippe G. Ciarlet Oana Iosifescu
+ PDF Chat	Preface	2008	Philippe G. Ciarlet
+ PDF Chat	Explicit reconstruction of a displacement field on a surface by means of its linearized change of metric and change of curvature tensors	2008	Philippe G. Ciarlet Liliana Gratie Michèle Serpilli
+	An Introduction to Differential Geometry in ℝ3	2008	Philippe G. Ciarlet
+	A brief introduction to mathematical shell theory	2008	Philippe G. Ciarlet
+ PDF Chat	A New Approach to the Fundamental Theorem of Surface Theory	2007	Philippe G. Ciarlet Liliana Gratie Cristinel Mardare
+ PDF Chat	Vector and scalar potentials, Poincaré's theorem and Korn's inequality	2007	Chérif Amrouche Philippe G. Ciarlet Patrick Ciarlet
+ PDF Chat	SAINT VENANT COMPATIBILITY EQUATIONS IN CURVILINEAR COORDINATES	2007	Philippe G. Ciarlet Cristinel Mardare Ming Shen
+	Recovery of a displacement field from its linearized strain tensor field in curvilinear coordinates	2007	Philippe G. Ciarlet Cristinel Mardare Ming Shen
+	ON THE GENERALIZED VON KÁRMÁN EQUATIONS AND THEIR APPROXIMATION	2007	Philippe G. Ciarlet Liliana Gratie Srinivasan Kesavan
+	Advances in Deterministic and Stochastic Analysis	2007	Nguyen Minh Chuong Philippe G. Ciarlet Peter D. Lax D. Mumford D. H. Phong
+	Rotation fields and the fundamental theorem of Riemannian geometry in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mn>3</mml:mn></mml:msup></mml:math>	2006	Philippe G. Ciarlet Liliana Gratie Oana Iosifescu Cristinel Mardare Claude Vallée
+	A nonlinear Korn inequality on a surface	2005	Philippe G. Ciarlet Liliana Gratie Cristinel Mardare
+ PDF Chat	Numerical analysis of the generalized von Kármán equations	2005	Philippe G. Ciarlet Liliana Gratie Srinivasan Kesavan
+	RECOVERY OF A SURFACE WITH BOUNDARY AND ITS CONTINUITY AS A FUNCTION OF ITS TWO FUNDAMENTAL FORMS	2005	Philippe G. Ciarlet Cristinel Mardare
+	Recovery of a manifold with boundary and its continuity as a function of its metric tensor	2004	Philippe G. Ciarlet Cristinel Mardare
+ PDF Chat	Extension of a Riemannian metric with vanishing curvature	2004	Philippe G. Ciarlet Cristinel Mardare
+	On the recovery of a manifold with boundary in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>ℝ</mml:mi> <mml:mi>n</mml:mi> </mml:msup></mml:math>	2004	Philippe G. Ciarlet Cristinel Mardare
+	On rigid and infinitesimal rigid displacements in shell theory	2003	Philippe G. Ciarlet Cristinel Mardare
+	Continuity of a Deformation as a Function of its Cauchy-Green Tensor	2003	Philippe G. Ciarlet Florian Laurent
+ PDF Chat	A surface is a continuous function of its two fundamental forms	2002	Philippe G. Ciarlet
+ PDF Chat	Up to isometries, a deformation is a continuous function of its metric tensor	2002	Philippe G. Ciarlet Florian Laurent
+	Jacques-Louis Lions. 2 May 1928 – 17 May 2001	2002	Philippe G. Ciarlet
+	ON KORN'S INEQUALITIES IN CURVILINEAR COORDINATES	2001	Philippe G. Ciarlet Sorin Mardare
+	Un théorème d'existence pour les équations de von Kármán généralisées	2001	Philippe G. Ciarlet Liliana Gratie N. Sabu
+	Équations de von Kármán généralisées	2000	Philippe G. Ciarlet Liliana Gratie
+	Sur les inégalités de Korn en coordonnées curvilignes	2000	Philippe G. Ciarlet Sorin Mardare
+	Preface to Volume I1 1This “Preface to Volume I” is an updated excerpt from the “Preface” to the first edition (1988) of Volume I.	2000	Philippe G. Ciarlet
+ PDF Chat	Justification des équations des coques minces linéairement élastiques	1999	Philippe G. Ciarlet
+ PDF Chat	Un théorème d'existence en théorie non linéaire des coques minces	1999	Philippe G. Ciarlet Daniel Coutand
+	Un théorème d'existence en théorie non linéaire des coques minces	1999	Philippe G. Ciarlet Daniel Coutand
+	The Von Kármán Equations	1997	Philippe G. Ciarlet
+	Asymptotic Analysis of Linearly Elastic Shells. I. Justification of Membrane Shell Equations	1996	Philippe G. Ciarlet Véronique Lods
+	Asymptotic Analysis of Linearly Elastic Shells. III. Justification of Koiter's Shell Equations	1996	Philippe G. Ciarlet Véronique Lods
+	Asymptotic analysis of linearly elastic shells. I. Justification of membrane shell equations	1996	Philippe G. Ciarlet Véronique Lods
+	Asymptotic analysis of linearly elastic shells. III. Justification of Koiter's shell equations	1996	Philippe G. Ciarlet Véronique Lods
+ PDF Chat	On the influence of the partitioning schemes on the efficiency of overlapping domain decomposition methods	1995	Philippe G. Ciarlet Françoise Lamour Barry Smith
+	Exercices d'analyse numérique matricielle et d'optimisation avec solutions	1995	Philippe G. Ciarlet Jean‐Marie Thomas Bernadette Miara
+	Techniques of scientific computing (Part 1);Numerical methods for solids (Part 1); Solution of equations in Rn (Part 2)	1994	Philippe G. Ciarlet Jacques Louis Lions
+	Author’s reply to the review of Introduction to Numerical Linear Algebra and Optimisation (P. G. Ciarlet)	1992	Philippe G. Ciarlet
+	Finite-Difference Method	1992	Michel Bernadou Philippe G. Ciarlet
+	Basic error estimates for elliptic problems	1991	Philippe G. Ciarlet
+	Finite element methods	1991	Philippe G. Ciarlet Jacques Louis Lions
+	Introduction to Numerical Linear Algebra and Optimisation.	1990	W. G. Philippe G. Ciarlet
+	Finite difference methods (part 1) ; Solution of equations in R[n] (part 1)	1990	Philippe G. Ciarlet Jacques Louis Lions
+	Modeling and justification of eigenvalue problems for junctions between elastic structures	1989	Frédéric Bourquin Philippe G. Ciarlet
+	Direct Methods for the Solution of Linear Systems	1989	Philippe G. Ciarlet
+	Iterative Methods for the Solution of Linear Systems	1989	Philippe G. Ciarlet
+	On the convergence of the semi-discrete incremental method in nonlinear, three-dimensional, elasticity	1984	Michel Bernadou Philippe G. Ciarlet Hu Jianwei
+	Trends and applications of pure mathematics to mechanics : invited and contributed papers presented at a symposium at Ecole Polytechnique, Palaiseau, France, November 28-December 2, 1983	1984	Philippe G. Ciarlet Maurice Roseau
+	On the convergence of incremental methods in finite elasticity	1982	Michel Bernadou Philippe G. Ciarlet Jun Hu
+ PDF Chat	Les Equations de von Kármán	1980	Philippe G. Ciarlet Patrick J. Rabier
+	Etude De La Bifurcation Perturbee Dans Les Equations de von Kármán	1980	Philippe G. Ciarlet Patrick J. Rabier
+	Etude Des Equations De Von Kármán: Resultats D'existence: Introduction A La Bifurcation	1980	Philippe G. Ciarlet Patrick J. Rabier
+ PDF Chat	Interpolation error estimates for the reduced Hsieh-Clough-Tocher triangle	1978	Philippe G. Ciarlet
+	Interpolation theory over curved elements, with applications to finite element methods	1972	Philippe G. Ciarlet Pierre-Arnaud Raviart
+	General lagrange and hermite interpolation in Rn with applications to finite element methods	1972	Philippe G. Ciarlet Pierre-Arnaud Raviart
+	Discrete maximum principle for finite-difference operators	1970	Philippe G. Ciarlet
+	Numerical methods of high-order accuracy for singular nonlinear boundary value problems	1970	Philippe G. Ciarlet Frank Natterer R. S. Varga
+	Discrete maximum principle for finite-difference operators	1970	Philippe G. Ciarlet
+	Discrete variational Green's function. I	1970	Philippe G. Ciarlet
+	Discrete variational Green's function. I	1969	Philippe G. Ciarlet
+	Numerical methods of high-order accuracy for nonlinear boundary value problems	1969	Philippe G. Ciarlet Martin H. Schultz R. S. Varga
+	An 0 (h 2) method for a non-smooth boundary value problem	1969	Philippe G. Ciarlet
+	Numerical methods of high-order accuracy for nonlinear boundary value problems IV. Periodic boundary conditions	1968	Philippe G. Ciarlet Martin H. Schultz R. S. Varga
+	Numerical methods of high-order accuracy for nonlinear boundary value problems	1968	Philippe G. Ciarlet Martin H. Schultz R. S. Varga
+	Numerical methods of high-order accuracy for nonlinear boundary value problems	1968	Philippe G. Ciarlet Martin H. Schultz R. S. Varga
+	An O(h 2) method for a non-smooth boundary value problem	1968	Philippe G. Ciarlet
+	Numerical methods of high-order accuracy for nonlinear boundary value Problems	1967	Philippe G. Ciarlet Martin H. Schultz R. S. Varga

Common Coauthors

Coauthor	Papers Together
Cristinel Mardare	22
Liliana Gratie	9
Sorin Mardare	7
R. S. Varga	6
Martin H. Schultz	5
Véronique Lods	4
Patrick J. Rabier	3
George Dincă	3
Jacques Louis Lions	3
Oana Iosifescu	3
Chérif Amrouche	3
Maria Mălin	3
Michel Bernadou	3
Yvon Maday	2
Patrick Ciarlet	2
Tatsien Li	2
Pierre-Arnaud Raviart	2
Florian Laurent	2
Paolo Piersanti	2
Pavel Matei	2
Ming Shen	2
Srinivasan Kesavan	2
Daniel Coutand	2
N. Sabu	1
Nguyen Minh Chuong	1
Yifeng Hou	1
Françoise Lamour	1
Hu Jianwei	1
Maurice Roseau	1
Peter D. Lax	1
Frank Natterer	1
W. G.	1
Radu Gogu	1
Claude Vallée	1
Jean‐Marie Thomas	1
Barry Smith	1
D. H. Phong	1
Frédéric Bourquin	1
Bernadette Miara	1
Michèle Serpilli	1
D. Mumford	1
Jun Hu	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Les Méthodes directes en théorie des équations elliptiques	1967	Jindřich Nečas Jean Dhombres Marie-Ève Maillé Philippe Robba	20
+	Linear and Nonlinear Functional Analysis with Applications	2013	Philippe G. Ciarlet	10
+	On Pfaff systems with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msup></mml:math> coefficients and their applications in differential geometry	2005	Sorin Mardare	10
+	RECOVERY OF A SURFACE WITH BOUNDARY AND ITS CONTINUITY AS A FUNCTION OF ITS TWO FUNDAMENTAL FORMS	2005	Philippe G. Ciarlet Cristinel Mardare	9
+	Numerical methods of high-order accuracy for nonlinear boundary value Problems	1967	Philippe G. Ciarlet Martin H. Schultz R. S. Varga	8
+	Recovery of a manifold with boundary and its continuity as a function of its metric tensor	2004	Philippe G. Ciarlet Cristinel Mardare	8
+	Continuity of a Deformation as a Function of its Cauchy-Green Tensor	2003	Philippe G. Ciarlet Florian Laurent	7
+ PDF Chat	On the equations rot v=g and div u=f with zero boundary conditions	1990	Wolfgang Borchers Hermann Sohr	7
+	Nonlinear Korn inequalities in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math> and immersions in W2,, p>n, considered as functions of their metric tensors in W1,	2016	Philippe G. Ciarlet Sorin Mardare	7
+	On systems of first order linear partial differential equations with $L^p$ coefficients	2007	Sorin Mardare	7
+	On the formulation of finite difference analogues of the Dirichlet problem for Poisson's equation	1962	James H. Bramble B. E. Hubbard	6
+	ON ISOMETRIC IMMERSIONS OF A RIEMANNIAN SPACE WITH LITTLE REGULARITY	2004	Sorin Mardare	6
+ PDF Chat	Iteration methods for nonlinear problems	1962	Samuel Schechter	5
+	On a Finite Difference Analogue of an Elliptic Boundary Problem which is Neither Diagonally Dominant Nor of Non‐negative Type	1964	James H. Bramble B. E. Hubbard	5
+	I problemi al contorno per le equazioni differenziali di tipo ellittico	1958	Enrico Magenes Guido Stampacchia	5
+	L-Splines	1967	Martin H. Schultz R. S. Varga	5
+ PDF Chat	On systems of first order linear partial differential equations with $L^p$ coefficients	2007	Sorin Mardare	5
+	Bounds for Deformations in Terms of Average Strains	1985	John Fritz	5
+	Consistent quadrature schemes for the numerical solution of boundary value problems by variational techniques	1968	R. J. Herbold	4
+	Approximation of Solutions of Mixed Boundary Value Problems for Poisson's Equation by Finite Differences	1965	James H. Bramble B. E. Hubbard	4
+	On a Discrete Maximum Principle	1966	Richard S. Varga	4
+	Elliptic Problems in Nonsmooth Domains	2011	Pierre Grisvard	4
+	Problèmes aux limites dans les équations aux dérivées partielles	1965	Jacques Louis Lions	4
+	Analyse II (Calcul Différentiel et Equations Différentielles)	1999	Ernst Hairer	4
+	None	2003	Yu. G. Reshetnyak	4
+	<i>Variational Methods in Mathematical Physics</i>	1965	Solomon G. Mikhlin J. Gillis	4
+	Functional Analysis, Sobolev Spaces and Partial Differential Equations	2010	Haı̈m Brezis	4
+	Géométrie différentielle intrinséque	1972	Marie Paule Malliavin	4
+ PDF Chat	Difference equations on a mesh arising from a general triangulation	1964	R. Bruce Kellogg	4
+	Analytic Extensions of Differentiable Functions Defined in Closed Sets	1992	Hassler Whitney	4
+	An Error Estimate for Elliptic Difference Equations on a Convex Polygon	1966	R. Bruce Kellogg	4
+	Piecewise Hermite interpolation in one and two variables with applications to partial differential equations	1968	G. Birkhoff Martin H. Schultz R. S. Varga	4
+	The Fundamental Theorem of Surface Theory for Surfaces with Little Regularity	2003	Sorin Mardare	4
+	The Numerical Treatment of Differential Equations	1960	Lothar Collatz	4
+	Variational methods in mathematical physics	1963		4
+ PDF Chat	On spaces $L^{p(x)}$ and $W^{k, p(x)}$	1991	Ondrej Kováčik Jiří Rákosník	3
+	On higher-order numerical methods for nonlinear two-point boundary value problems	1969	Frédéric Perrin H.S. Price R. S. Varga	3
+ PDF Chat	Approximation variationnelle des problèmes aux limites	1964	Jean Céa	3
+	Numerical Solution of Partial Differential Equations	1965	Peter D. Lax	3
+ PDF Chat	Existence theory for two point boundary value problems	1966	Herbert B. Keller	3
+	On the Spaces Lp(x)(Ω) and Wm,p(x)(Ω)	2001	Xianling Fan Dun Zhao	3
+ PDF Chat	On Poincaré's and J.L. Lions' lemmas	2004	Srinivasan Kesavan	3
+	Refined interior equations for thin elastic shells	1971	Fritz John	3
+	An Introduction to Functional Analysis	2006	Angus E. Taylor P. J. Davis	3
+	Interpolation polynomials on the triangle	1970	Alexander Ženíšek	3
+	L. Collatz, The Numerical Treatment of Differential Equations. XV + 568 S. m. 118 Abb. Berlin/Göttingen/Heidelberg 1959. Springer‐Verlag. Preis geb. 93,60 DM	1961	H. Heinrich	3
+ PDF Chat	Nonlinear Difference Equations and Gauss-Seidel Type Iterative Methods	1966	James M. Ortega Maxine L. Rockoff	3
+	ON KORN'S INEQUALITIES IN CURVILINEAR COORDINATES	2001	Philippe G. Ciarlet Sorin Mardare	3
+	On rigid and infinitesimal rigid displacements in shell theory	2003	Philippe G. Ciarlet Cristinel Mardare	3
+ PDF Chat	Les Equations de von Kármán	1980	Philippe G. Ciarlet Patrick J. Rabier	3