René P. Sperb

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All published works

Action	Title	Year	Authors
+	Bounds for the first eigenvalue of the elastically supported membrane on convex domains	2003	René P. Sperb
+	An alternative to Ewald sums	2000	René P. Sperb
+	Some complementary estimates in the dead core problem	1995	René P. Sperb
+ PDF Chat	Isoperimetric Inequalities in a Boundary Value Problem in an Unbounded Domain	1994	René P. Sperb
+	Isoperimetric inequalities in a boundary value problem in an unbounded domain	1993	René P. Sperb
+	An isoperimetric inequality for the first eigenvalue of the Laplacian under Robin boundary conditions	1992	René P. Sperb
+	Optimal Bounds for the Critical Value in a Semilinear Boundary Value Problem on a Surface	1987	René P. Sperb
+	Qualitative Behavior and Bounds in a Nonlinear Plasma Problem	1983	Catherine Bandle René P. Sperb
+	Isoperimetric inequalities in a boundary value problem on a Riemannian manifold	1980	René P. Sperb
+	Maximum principles and nonlinear elliptic problems	1979	René P. Sperb
+	Corrigendum and Addendum: Maximum Principles and Bounds in Some Inhomogeneous Elliptic Boundary Problems	1979	René P. Sperb
+	Nonlinear diffusion-reaction problems with time-dependent diffusion coefficient	1979	René P. Sperb
+	On a mathematical model describing the aggregation of amoebae	1979	René P. Sperb
+	On Hopf type maximum principles for convex domains	1977	L. E. Payne René P. Sperb Ivar Stakgold
+	A maximum principle for a class of functionals in nonlinear dirichlet problems	1976	Philip Schaefer René P. Sperb
+	Extension of two theorems of Payne to some nonlinear Dirichlet problems	1975	René P. Sperb
+	Applications of Rellich's perturbation theory to a classical boundary and eigenvalue problem	1973	Catherine Bandle René P. Sperb
+	A Priori-Schranken für das Energieintegral in einem Randwertproblem mit einem Parameter α	1972	René P. Sperb
+	Ein Beitrag zum Typenproblem der Riemannschen Flächen	1964	René P. Sperb

Common Coauthors

Coauthor	Papers Together
Catherine Bandle	2
Philip Schaefer	1
L. E. Payne	1
Ivar Stakgold	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Isoperimetric Inequalities and Their Applications	1967	L. E. Payne	5
+	On the mean value of the fundamental mode in the fixed membrane problem	1973	L. E. Payne Ivar Stakgold	4
+	Maximum Principles in Differential Equations	1984	Murray H. Protter Hans F. Weinberger	4
+	Maximum principles for some functionals associated with the solution of elliptic boundary value problems	1976	Philip Schaefer R. Sperb	4
+	Maximum Principles and Bounds in Some Inhomogeneous Elliptic Boundary Value Problems	1977	Philip Schaefer R. Sperb	3
+ PDF Chat	A remark on linear elliptic differential equations of second order	1952	Eberhard Hopf	3
+	Isoperimetric inequalities in mathematical physics	1951	George Pólya Gábor Szegő	2
+	Isoperimetric inequalities and applications	1980	Catherine Bandle	2
+ PDF Chat	Bounds for solutions of a class of quasilinear elliptic boundary value problems in terms of the torsion function	1981	L. E. Payne	2
+	Konstruktion isoperimetrischer Ungleichungen der mathematischen Physik aus solchen der Geometrie	1971	Catherine Bandle	2
+	Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces	1976	Herbert Amann	2
+	On Hopf type maximum principles for convex domains	1977	L. E. Payne René P. Sperb Ivar Stakgold	2
+	Une méthode de comparaison isopérimétrique de fonctionnelles de domaines de la physique mathématique I. Première partie: une démonstration de la conjecture isopérimétrique Pλ2 ≥ πj 0 4 /2 de Pólya et Szegö	1978	Marie–Thérèse Kohler–Jobin	1
+	Optimal bounds in semilinear elliptic problems with nonlinear boundary conditions	1993	R. Sperb	1
+	Positive eigenfunctions for ?u + ?f(u) = 0	1962	Norman Levinson	1
+	Non-uniqueness in the equilibrium shape of a confined plasma<sup>†</sup>	1977	David G. Schaeffer	1
+	A Priori-Schranken für das Energieintegral in einem Randwertproblem mit einem Parameter α	1972	René P. Sperb	1
+	Maximal and minimal solutions of elliptic differential equations with discontinuous non-linearities	1978	C. A. Stuart	1
+	On the boundary values of solutions of a problem arising in plasma physics	1982	Catherine Bandle Moshe Marcus	1
+	On two conjectures in the fixed membrane eigenvalue problem	1973	L. E. Payne	1
+ PDF Chat	Sur la nature analytique des solutions des �quations aux d�riv�es partielles du second ordre	1904	S. Bernstein	1
+	Isoperimetric inequalities in a boundary value problem on a Riemannian manifold	1980	René P. Sperb	1
+	On the Existence of Positive Solutions of Semilinear Elliptic Equations	1982	Pierre‐Louis Lions	1
+	Diffusion and reaction with monotone kinetics	1984	Catherine Bandle R. Sperb Ivar Stakgold	1
+	Asymptotic estimates for the plasma problem	1980	Luis Caffarelli Avner Friedman	1
+	A non-linear eigenvalue problem: The shape at equilibrium of a confined plasma	1975	Roger Témam	1
+	Gradient bounds for plasma confinement	1980	Ivar Stakgold George C. Hsiao	1
+ PDF Chat	The Number of Solutions of a Nonlinear Two Point Boundary Value Problem	1970	Theodore W. Laetsch	1
+	A semilinear elliptic eigenvalue problem, II. The plasma problem	1980	Grant Keady John Norbury	1
+ PDF Chat	A Maximum Principle and Gradient Bounds for Linear Elliptic Equations	1973	Murray H. Protter Hans F. Weinberger	1
+	Lower Bounds for the First Eigenvalue of Elliptic Equations	1960	Murray H. Protter	1
+	Isoperimetric Inequalities in Mathematical Physics. (AM-27)	1951	Georg Pólya Giorgio P. Szegö	1
+	Optimal Bounds for the Critical Value in a Semilinear Boundary Value Problem on a Surface	1987	René P. Sperb	1
+ PDF Chat	Sur les périodes des solutions de l'équation différentielle x'' + g(x) = 0	1961	Z. Opial	1
+ PDF Chat	Linear elliptic differential systems and eigenvalue problems	1965	Gaetano Fichera	1
+	Abschaetzung der Randwerte bei Nichtlinearen Elliptischen Gleichungen aus der Plasmaphysik	1981	Catherine Bandle	1
+	Global estimates for nonlinear reaction and diffusion	1974	Ivar Stakgold	1
+	Existence theorems, qualitative results and a priori bounds for a class of nonlinear Dirichlet problems	1975	Catherine Bandle	1
+	Maximum principles and nonlinear elliptic problems	1979	René P. Sperb	1
+	Maximum principles for functionals associated with the solution of semilinear elliptic boundary value problems	1989	J. R. L. Webb	1
+ PDF Chat	Symmetry and related properties via the maximum principle	1979	Basilis Gidas Wei‐Ming Ni Louis Nirenberg	1
+	Isoperimetric Inequalities in a Class of Nonlinear Eigenvalue Problems	1978	Philip S. Crooke R. Sperb	1
+	Remarks on a free Boundary Value Problem Arising in Plasma Physics	1977	Roger Témam	1
+	On a free boundary problem arising in plasma physics	1980	Henri Berestycki Haı̈m Brezis	1
+	Membranes �lastiquement li�es inhomog�nes ou sur une surface: Une nouvelle extension du th�or�me isop�rim�trique de Rayleigh-Faber-Krahn	1988	Marie-H�l�ne Bossel	1
+	An isoperimetric inequality for the first eigenfunction in the fixed membrane problem	1972	L. E. Payne Margaret E. Rayner	1
+	Some Isoperimetric Inequalities for Harmonic Functions	1970	L. E. Payne	1