Marcello Lucia

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All published works

Action	Title	Year	Authors
+	Harnack inequalities and quantization properties for the $$n-$$Liouville equation	2024	Pierpaolo Esposito Marcello Lucia
+ PDF Chat	The class of second fundamental forms arising from minimal immersions in a space form	2024	Marcello Lucia
+ PDF Chat	Donaldson Functional in Teichmüller Theory	2022	Zheng Huang Marcello Lucia Gabriella Tarantello
+ PDF Chat	Harnack inequalities and quantization properties for the n-Liouville equation	2021	Pierpaolo Esposito Marcello Lucia
+ PDF Chat	Nondegeneracy of solutions for a class of cooperative systems on $ \mathbb{R}^n $	2021	Marcello Lucia Guido Sweers
+	Harnack inequalities and quantization properties for the n-Liouville equation	2021	Pierpaolo Esposito Marcello Lucia
+	Some results related to Schiffer’s problem	2020	Bernd Kawohl Marcello Lucia
+ PDF Chat	Bifurcation for minimal surface equation in hyperbolic 3-manifolds	2020	Zheng Huang Marcello Lucia Gabriella Tarantello
+	Addendum to “Criticality theory for Schrödinger operators with singular potential” [J. Differ. Equ. 265 (2018) 3400–3440]	2020	Marcello Lucia S. Prashanth
+	Donaldson Functional in Teichmüller Theory	2020	Zheng Huang Marcello Lucia Gabriella Tarantello
+	Criticality theory for Schrödinger operators with singular potential	2018	Marcello Lucia S. Prashanth
+ PDF Chat	Antisymmetry of solutions for some weighted elliptic problems	2018	Xavier Cabré Marcello Lucia Manel Sanchón Salvador Villegas
+	Criticality theory for Schrodinger operators with singular potential	2018	S. Prashanth Marcello Lucia
+ PDF Chat	Multi-bump bound states for a Schrödinger system via Lyapunov–Schmidt Reduction	2017	Marcello Lucia Zhongwei Tang
+	Antisymmetry of solutions for some weighted elliptic problems	2017	Xavier Cabré Marcello Lucia Manel Sanchón Salvador Villegas
+ PDF Chat	On a resonant mean field type equation: A "critical point at Infinity" approach	2017	Mohameden Ould Ahmedou Mohamed Ben Ayed Marcello Lucia
+	Antisymmetry of solutions for some weighted elliptic problems	2017	Xavier Cabré Marcello Lucia Manel Sanchón Salvador Villegas
+ PDF Chat	Ergodicity and spectral cascades in point vortex flows on the sphere	2015	David G. Dritschel Marcello Lucia Andrew C. Poje
+ PDF Chat	The p-Royden and p-Harmonic Boundaries for Metric Measure Spaces	2015	Marcello Lucia Michael J. Puls
+	Equilibrium statistics and dynamics of point vortex flows on the sphere	2014	David G. Dritschel Marcello Lucia Andrew C. Poje
+	Ergodicity and spectral cascades in point vortex flows on the sphere	2014	David G. Dritschel Marcello Lucia Andrew C. Poje
+	Ergodicity and spectral cascades in point vortex flows on the sphere	2014	David G. Dritschel Marcello Lucia Andrew C. Poje
+	The $p$-harmonic boundary for metric measure spaces	2013	Marcello Lucia Michael J. Puls
+	The $p$-Royden and $p$-harmonic boundaries for metric measure spaces	2013	Marcello Lucia Michael J. Puls
+ PDF Chat	A class of degenerate elliptic eigenvalue problems	2013	Marcello Lucia Friedemann Schuricht
+ PDF Chat	Holomorphic cubic differentials and minimal Lagrangian surfaces in $\mathbb{CH}^2$	2013	Zheng Huang John Loftin Marcello Lucia
+	The $p$-Royden and $p$-harmonic boundaries for metric measure spaces	2013	Marcello Lucia Michael J. Puls
+	Holomorphic Cubic Differentials and Minimal Lagrangian Surfaces in CH2	2012	Zheng Huang John Loftin Marcello Lucia
+	Multi-bump bound states for a system of nonlinear Schrödinger equations	2011	Marcello Lucia Zhongwei Tang
+ PDF Chat	Minimal immersions of closed surfaces in hyperbolic three-manifolds	2011	Zheng Huang Marcello Lucia
+	Uniqueness and symmetry of equilibria in a chemotaxis model	2011	Dirk Horstmann Marcello Lucia
+	Exact multiplicity of nematic states for an Onsager model	2010	Marcello Lucia Jesenko Vukadinović
+ PDF Chat	One-dimensional symmetry of periodic minimizers for a mean field equation	2009	Chang‐Shou Lin Marcello Lucia
+	Nonlocal elliptic boundary value problems related to chemotactic movement of mobile species (Mathematical analysis on the self-organization and self-similarity)	2009	Dirk Horstmann Marcello Lucia
+	A minimax theorem in the presence of unbounded Palais-Smale sequences	2009	Jiří Horák Marcello Lucia
+	Eigenvalue problems with weights in Lorentz spaces	2009	T. V. Anoop Marcello Lucia Mythily Ramaswamy
+	Partial Difierential Equations Math 85500, Fall 2009	2009	Marcello Lucia
+	GLOBAL BIFURCATION FOR SEMILINEAR ELLIPTIC PROBLEMS	2008	Marcello Lucia Mythily Ramaswamy
+ PDF Chat	Best constants in some exponential Sobolev inequalities	2008	Bernd Kawohl Marcello Lucia
+	Laplacian eigenvalues for mean zero functions with constant Dirichlet data	2008	Antonio Greco Marcello Lucia
+	Gradient theory of phase transitions with a rapidly oscillating forcing term	2008	Nicolas Dirr Marcello Lucia Matteo Novaga
+	Isoperimetric profile and uniqueness for Neumann problems	2007	Marcello Lucia
+	A deformation lemma with an application to a mean field equation	2007	Marcello Lucia
+ PDF Chat	Simplicity of the principal eigenvalue for indefinite quasilinear problems	2007	Bernd Kawohl Marcello Lucia S. Prashanth
+	A blowing-up branch of solutions for a mean field equation	2006	Marcello Lucia
+	Simplicity of principal eigenvalue for p-Laplace operator with singular indefinite weight	2006	Marcello Lucia S. Prashanth
+	Uniqueness of solutions for a mean field equation on torus	2005	Chang‐Shou Lin Marcello Lucia
+ PDF Chat	A Mean Field Equation on a Torus: One-Dimensional Symmetry of Solutions	2005	Xavier Cabré Marcello Lucia Manel Sanchón
+ PDF Chat	A mountain pass theorem without Palais–Smale condition	2005	Marcello Lucia
+	A priori estimates and uniqueness for some mean field equations	2005	Marcello Lucia Lei Zhang
+	A deformation lemma for a Moser-Trudinger type functional	2005	Marcello Lucia
+ PDF Chat	Gamma-star-shapedness for semilinear elliptic equations	2005	Antonio Greco Marcello Lucia
+	On the uniqueness and simplicity of the principal eigenvalue	2005	Marcello Lucia
+	Some elliptic semilinear indefinite problems on R<sup><i>N</i></sup>	2004	Jacques Giacomoni Marcello Lucia Mythily Ramaswamy
+	Linear vs. nonlinear selection for the propagation speed of the solutions of scalar reaction‐diffusion equations invading an unstable equilibrium	2004	Marcello Lucia Cyrill B. Muratov Matteo Novaga
+	Strong comparison principle for solutions of quasilinear equations	2003	Marcello Lucia S. Prashanth
+ PDF Chat	A Dirichlet problem with asymptotically linear and changing sign nonlinearity	2003	Marcello Lucia Paola Magrone Huan-Song Zhou
+	SU(3) Chern–Simons Vortex Theory and Toda Systems	2002	Marcello Lucia Margherita Nolasco
+	A Neumann problem in exterior domain	2001	Daomin Cao Marcello Lucia Huan-Song Zhou
+	AN APPLICATION OF THE ARTIN-SCHREIER THEOREM	2001	J. Boéchat Marcello Lucia
+ PDF Chat	Branches of solutions to semilinear elliptic equations on $\mathbb{R}^N$	1999	Hélène Jeanjean Marcello Lucia C. A. Stuart
+	Branches of solutions to a semilinear elliptic equation with singular coefficients on RN	1999	Marcello Lucia
+	The branch of positive solutions to a semilinear elliptic equation on $\mathbb {R}^N$	1999	Hélène Jeanjean Marcello Lucia C. A. Stuart
+	Branches of solutions to semilinear elliptic equations on $R^N$	1997	Hélène Jeanjean Marcello Lucia C. A. Stuart

Common Coauthors

Coauthor	Papers Together
Zheng Huang	6
S. Prashanth	6
Xavier Cabré	4
Manel Sanchón	4
Michael J. Puls	4
Andrew C. Poje	4
David G. Dritschel	4
Bernd Kawohl	3
Pierpaolo Esposito	3
Salvador Villegas	3
Gabriella Tarantello	3
C. A. Stuart	3
Mythily Ramaswamy	3
Hélène Jeanjean	3
Chang‐Shou Lin	2
Dirk Horstmann	2
Matteo Novaga	2
Zhongwei Tang	2
John Loftin	2
Antonio Greco	2
Huan-Song Zhou	2
Friedemann Schuricht	1
Nicolas Dirr	1
Jesenko Vukadinović	1
Guido Sweers	1
Jacques Giacomoni	1
T. V. Anoop	1
Mohamed Ben Ayed	1
Mohameden Ould Ahmedou	1
Paola Magrone	1
J. Boéchat	1
Cyrill B. Muratov	1
Margherita Nolasco	1
Daomin Cao	1
Lei Zhang	1
Jiří Horák	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On multivortex solutions in Chern-Simons gauge theory	1998	Michaël Struwe Gabriella Tarantello	15
+	Measure Theory and Fine Properties of Functions	2018	Lawrence C. Evans Ronald F. Garzepy	11
+	Dual variational methods in critical point theory and applications	1973	Antonio Ambrosetti Paul H. Rabinowitz	11
+	A sharp form of an inequality by N. Trudinger	1971	J. Moser	10
+ PDF Chat	A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description	1992	Emanuele Caglioti Pierre Louis Lions Carlo Marchioro Mario Pulvirenti	10
+	Statistical mechanics of classical particles with logarithmic interactions	1993	Michael K.‐H. Kiessling	10
+	Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e<sup>u</sup>in two dimensions	1991	Haı̈m Brezis Frank Merle	9
+ PDF Chat	Global analysis for a two-dimensional elliptic eigenvalue problem with the exponential nonlinearity	1992	Takashi Suzuki	9
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	9
+	Isoperimetric inequalities and applications	1980	Catherine Bandle	8
+	Multiple condensate solutions for the Chern–Simons–Higgs theory	1996	Gabriella Tarantello	7
+ PDF Chat	Rearrangements and Convexity of Level Sets in PDE	1985	Bernhard Kawohl	7
+	Sharp estimates for solutions of multi‐bubbles in compact Riemann surfaces	2002	Chiun‐Chuan Chen Chang‐Shou Lin	7
+	Sharp borderline Sobolev inequalities on compact Riemannian manifolds	1993	Luigi Fontana	7
+	Existence results for mean field equations	1999	Jiayu Li Guofang Wang Weiyue Ding Jürgen Jost	7
+	A priori estimates and uniqueness for some mean field equations	2005	Marcello Lucia Lei Zhang	6
+ PDF Chat	Minimal immersions of closed surfaces in hyperbolic three-manifolds	2011	Zheng Huang Marcello Lucia	6
+ PDF Chat	On the positivity of the effective action in a theory of random surfaces	1982	E. Onofri	6
+	Variational methods: Applications to nonlinear partial differential equations and Hamiltonian systems	1990	Michaël Struwe	6
+	Some Nonlinear Problems in Riemannian Geometry	1998	Thierry Aubin	6
+ PDF Chat	Remarks on the strong maximum principle	2003	Haı̈m Brezis Augusto C. Ponce	6
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	6
+ PDF Chat	Rotational symmetry of solutions of some nonlinear problems in statistical mechanics and in geometry	1994	Sagun Chanillo Michael K.‐H. Kiessling	5
+	Nonlinear Analysis on Manifolds. Monge-Ampère Equations	1982	Thierry Aubin	5
+	Nonlinear Potential Theory of Degenerate Elliptic Equations	2018	Juha Heinonen Tero Kilpeläinen Олли Мартио	5
+	On a Sharp Sobolev-Type Inequality on Two-Dimensional Compact Manifolds	1998	Margherita Nolasco Gabriella Tarantello	5
+ PDF Chat	A best constant and the Gaussian curvature	1986	Chong Wei Hong	5
+ PDF Chat	The differential equation $\Delta u = {8 \pi - 8 \pi he}^u$ on a compact Riemann surface	1997	Weiyue Ding Jürgen Jost Jiayu Li Guofang Wang	5
+	Eigenvalue problems with indefinite weight	1999	Andrzej Szulkin Michel Willem	5
+ PDF Chat	Symmetry and related properties via the maximum principle	1979	Basilis Gidas Wei‐Ming Ni Louis Nirenberg	4
+ PDF Chat	Simplicity of the principal eigenvalue for indefinite quasilinear problems	2007	Bernd Kawohl Marcello Lucia S. Prashanth	4
+	An introduction to the theory of real functions	1989	Stanisław Łojasiewicz A. V. Ferreira	4
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	1977	David Gilbarg Neil S. Trudinger	4
+	Complete Minimal Surfaces in S 3	1970	H. Blaine Lawson	4
+	A deformation lemma with an application to a mean field equation	2007	Marcello Lucia	4
+ PDF Chat	On a periodic boundary value problem with exponential nonlinearities	1998	Tonia Ricciardi Gabriella Tarantello	4
+	Isoperimetric inequalities in mathematical physics	1951	George Pólya Gábor Szegő	4
+ PDF Chat	The Royden boundary of a Riemannian manifold	1970	Moses Glasner Richard Katz	3
+	Eigenvalue problems for the p-Laplacian with indefinite weights	2001	Mabel Cuesta	3
+	Bifurcation from simple eigenvalues	1971	Michael G. Crandall Paul H. Rabinowitz	3
+	Simplicity of principal eigenvalue for p-Laplace operator with singular indefinite weight	2006	Marcello Lucia S. Prashanth	3
+	From 1970 until present: the Keller-Segel model in chemotaxis and its consequences	2003	Dirk Horstmann	3
+ PDF Chat	Principal eigenvalues for problems with indefinite weight function on 𝑅ⁿ	1990	K.J. Brown Chris Cosner Jacqueline Fleckinger	3
+ PDF Chat	Graphs of bounded degree and the<i>p</i>-harmonic boundary	2010	Michael J. Puls	3
+	A deformation lemma for a Moser-Trudinger type functional	2005	Marcello Lucia	3
+ PDF Chat	Bounded Palais-Smale mountain-pass sequences	1998	Louis Jeanjean John Toland	3
+	Topological degree for a mean field equation on Riemann surfaces	2003	Chiun‐Chuan Chen Chang‐Shou Lin	3
+ PDF Chat	On Imbeddings into Orlicz Spaces and Some Applications	1967	Neil S. Trudinger	3
+	Curvature Functions for Compact 2-Manifolds	1974	Jerry L. Kazdan F. W. Warner	3
+ PDF Chat	A ground state alternative for singular Schrödinger operators	2005	Yehuda Pinchover Kyril Tintarev	3