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Displaying 21 – 40 of 68

Faisceaux d'espaces de Sobolev et principes du minimum

Denis Feyel, A. de La Pradelle (1975)

Annales de l'institut Fourier

On montre que le faisceau $ℱ$ des sursolutions locales dans $W_{loc}^{2}$ d’un certain opérateur elliptique $L$ est maximal pour un principe du minimum adapté aux espaces de Sobolev. La continuité de la réduite variationnelle des éléments continus permet alors d’étudier des représentants s.c.i.

Hemivariational inequalities governed by the p-Laplacian - Neumann problem

Zdzisław Naniewicz (2007)

Control and Cybernetics

$L_{\infty}$ -convergence of saddle-point approximations for second order problems

Reinhard Scholz (1977)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Landesman-Lazer conditions for strongly nonlinear boundary value problems

Lucio Boccardo, Pavel Drábek, Milan Kučera (1989)

Commentationes Mathematicae Universitatis Carolinae

Liouville-Gelfand type problems for the $N$ -laplacian on bounded domains of $ℝ^{N}$

Elves A. de B. Silva, Sérgio H. M. Soares (1999)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Multiple solutions for biharmonic equations with asymptotically linear nonlinearities.

Pei, Ruichang (2010)

Boundary Value Problems [electronic only]

Multiple solutions to a nonlinear elliptic equation involving Paneitz type operators.

El Hamidi, Abdallah (2004)

International Journal of Mathematics and Mathematical Sciences

Nonlinear potential equations with linear parts at resonance

Svatopluk Fučík (1978)

Časopis pro pěstování matematiky

On strongly nonlinear elliptic equations with weak coercitivity condition.

László Simon (1992)

Publicacions Matemàtiques

We prove the existence and uniqueness of weak solutions of boundary problem value problems in an unbounded domain Ω ⊂ Rn for strongly nonlinear 2m order elliptic differential equations.

On the behaviour of solutions to the nonlinear elliptic Neumann problem in unbounded domains

L. Tarba, Jana Stará (1991)

Commentationes Mathematicae Universitatis Carolinae

The asymptotic behaviour is studied for minima of regular variational problems with Neumann boundary conditions on noncompact part of boundary.

On the coincidence set in biharmonic variational inequalities with thin obstacles

Bernhard Schild (1986)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

On the Dirichlet Probelm for Surfaces of Prescribed Mean Curvature.

Mariano Giaquinta (1974)

Manuscripta mathematica

On the existence of nontrivial solutions for a fourth-order semilinear elliptic problem.

Qian, Aixia, Li, Shujie (2005)

Abstract and Applied Analysis

On the regularity of local minimizers of decomposable variational integrals on domains in $ℝ^{2}$

Michael Bildhauer, Martin Fuchs (2007)

Commentationes Mathematicae Universitatis Carolinae

We consider local minimizers $u : ℝ^{2} \supset Ω \to ℝ^{N}$ of variational integrals like $\int_{Ω} [(1 + | \partial_{1} {u |}^{2})^{p / 2} + (1 + | \partial_{2} {u |}^{2})^{q / 2}] d x$ or its degenerate variant $\int_{Ω} [| \partial_{1} {u |}^{p} + | \partial_{2} u |^{q}] d x$ with exponents $2 \leq p < q < \infty$ which do not fall completely in the category studied in Bildhauer M., Fuchs M., Calc. Var. 16 (2003), 177–186. We prove interior $C^{1, α}$ - respectively $C^{1}$ -regularity of $u$ under the condition that $q < 2 p$ . For decomposable variational integrals of arbitrary order a similar result is established by the way extending the work Bildhauer M., Fuchs M., Ann. Acad. Sci. Fenn. Math. 31 (2006), 349–362.

Currently displaying 21 – 40 of 68

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Displaying 21 – 40 of 68

Faisceaux d'espaces de Sobolev et principes du minimum

Hemivariational inequalities governed by the p-Laplacian - Neumann problem

$L_{\infty}$ -convergence of saddle-point approximations for second order problems

Landesman-Lazer conditions for strongly nonlinear boundary value problems

Liouville-Gelfand type problems for the $N$ -laplacian on bounded domains of $ℝ^{N}$

Multiple solutions for biharmonic equations with asymptotically linear nonlinearities.

Multiple solutions to a nonlinear elliptic equation involving Paneitz type operators.

Nonlinear potential equations with linear parts at resonance

On strongly nonlinear elliptic equations with weak coercitivity condition.

On the behaviour of solutions to the nonlinear elliptic Neumann problem in unbounded domains

On the coincidence set in biharmonic variational inequalities with thin obstacles

On the Dirichlet Probelm for Surfaces of Prescribed Mean Curvature.

On the existence of nontrivial solutions for a fourth-order semilinear elliptic problem.

On the regularity of local minimizers of decomposable variational integrals on domains in $ℝ^{2}$

On the Regularity of the Solution of the Biharmonic Variational Inequality.

On the unique solvability of nonresonant elliptic equations

Opérateurs géométriques et géométrie conforme

Oscillation theorems and nodes of eigenfunctions of certain differential equations of the fourth order

Perturbations singulières coercives : réduction à des perturbations régulières et applications

Positive solutions of quasilinear elliptic systems with strong dependence on the gradient.

Currently displaying 21 – 40 of 68