Nonlinear homogeneous eigenvalue problem in $R^N$: nonstandard variational approach

Pavel Drábek; Zakaria Moudan; Abdelfettah Touzani

Displaying similar documents to “Nonlinear homogeneous eigenvalue problem in $R^N$: nonstandard variational approach”

Existence of solutions for a class of elliptic systems in $ℝ^{N}$ involving the $(p (x), q (x))$ -Laplacian.

Ogras, S., Mashiyev, R.A., Avci, M., Yucedag, Z. (2008)

Journal of Inequalities and Applications [electronic only]

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Perturbations near resonance for the $p$ -Laplacian in $ℝ^{N}$ .

Ma, To Fu, Pelicer, Maurício Luciano (2002)

Abstract and Applied Analysis

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Integrability for vector-valued minimizers of some variational integrals

Francesco Leonetti, Francesco Siepe (2001)

Commentationes Mathematicae Universitatis Carolinae

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We prove that the higher integrability of the data $f, f_{0}$ improves on the integrability of minimizers $u$ of functionals $ℱ$ , whose model is $\int_{Ω} [{| D u |}^{p} + {(det (D u))}^{2} - 〈 f, D u 〉 + 〈 f_{0}, u 〉] d x,$ where $u : Ω \subset ℝ^{n} \to ℝ^{n}$ and $p \geq 2$ .

A positive solution for an asymptotically linear elliptic problem on $ℝ^{N}$ autonomous at infinity

Louis Jeanjean, Kazunaga Tanaka (2002)

ESAIM: Control, Optimisation and Calculus of Variations

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In this paper we establish the existence of a positive solution for an asymptotically linear elliptic problem on $ℝ^{N}$ . The main difficulties to overcome are the lack of a priori bounds for Palais–Smale sequences and a lack of compactness as the domain is unbounded. For the first one we make use of techniques introduced by Lions in his work on concentration compactness. For the second we show how the fact that the “Problem at infinity” is autonomous, in contrast to just periodic, can be...

Critical singular problems on unbounded domains.

de Morais Filho, D.C., Miyagaki, O.H. (2005)

Abstract and Applied Analysis

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Displaying similar documents to “Nonlinear homogeneous eigenvalue problem in $R^N$: nonstandard variational approach”

Existence of solutions for a class of elliptic systems in ℝ N involving the ( p ( x ) , q ( x ) ) -Laplacian.

Perturbations near resonance for the p -Laplacian in ℝ N .

Integrability for vector-valued minimizers of some variational integrals

A positive solution for an asymptotically linear elliptic problem on ℝ N autonomous at infinity

Critical singular problems on unbounded domains.

Existence of solutions for a class of elliptic systems in $ℝ^{N}$ involving the $(p (x), q (x))$ -Laplacian.

Perturbations near resonance for the $p$ -Laplacian in $ℝ^{N}$ .

A positive solution for an asymptotically linear elliptic problem on $ℝ^{N}$ autonomous at infinity