Existence of solutions for a class of elliptic systems in  involving the -Laplacian.

Ogras, S.; Mashiyev, R.A.; Avci, M.; Yucedag, Z.

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

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

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Critical singular problems on unbounded domains.

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

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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...

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

Pavel Drábek, Zakaria Moudan, Abdelfettah Touzani (1997)

Commentationes Mathematicae Universitatis Carolinae

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The nonlinear eigenvalue problem for p-Laplacian $\{\begin{matrix} - {div (a (x) | \nabla u |}^{p - 2} {\nabla u) = λ g (x) | u |}^{p - 2} u in ℝ^{N}, u > 0 in ℝ^{N}, lim_{| x | \to \infty} u (x) = 0, \end{matrix}$ is considered. We assume that $1 < p < N$ and that $g$ is indefinite weight function. The existence and $C^{1, α}$ -regularity of the weak solution is proved.

Multiple solutions of a Schrödinger type semilinear equation

Xiaochun Liu, Jianfu Yang (2000)

Commentationes Mathematicae Universitatis Carolinae

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Two nontrivial solutions are obtained for nonhomogeneous semilinear Schrödinger equations.

Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations.

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Three solutions for quasilinear equations in $ℝ^{n}$ near resonance.

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Displaying similar documents to “Existence of solutions for a class of elliptic systems in ℝ N involving the ( p ( x ) , q ( x ) ) -Laplacian.”

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