Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems.

De Nàpoli, Pablo L.; Mariani, M.Cristina

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

El Hamidi, Abdallah (2004)

International Journal of Mathematics and Mathematical Sciences

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A $p$ -Laplacian system with resonance and nonlinear boundary conditions on an unbounded domain

Dimitrios A. Kandilakis, Manolis Magiropoulos (2007)

Commentationes Mathematicae Universitatis Carolinae

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We study a nonlinear elliptic system with resonance part and nonlinear boundary conditions on an unbounded domain. Our approach is variational and is based on the well known Landesman-Laser type conditions.

Existence and multiplicity of positive solutions for Dirichlet problems in unbounded domains.

Wu, Tsung-Fang (2007)

Abstract and Applied Analysis

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Solutions to a perturbed critical semilinear equation concerning the $N$ -Laplacian in $ℝ^{N}$

Elliot Tonkes (1999)

Commentationes Mathematicae Universitatis Carolinae

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The aim of this paper is to study the existence of variational solutions to a nonhomogeneous elliptic equation involving the $N$ -Laplacian $- Δ_{N} u \equiv - {div (| \nabla u |}^{N - 2} \nabla u) = e (x, u) + h (x) in Ω$ where $u \in W_{0}^{1, N} (ℝ^{N})$ , $Ω$ is a bounded smooth domain in $ℝ^{N}$ , $N \geq 2$ , $e (x, u)$ is a critical nonlinearity in the sense of the Trudinger-Moser inequality and $h (x) \in {(W_{0}^{1, N})}^{*}$ is a small perturbation.

On the concentration of solutions of singularly perturbed Hamiltonian systems in $ℝ^{N}$ .

Ramos, Miguel, Soares, Sérgio H.M. (2006)

Portugaliae Mathematica. Nova Série

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Existence result for a class of nonlinear elliptic systems on punctured unbounded domains.

Colin, Fabrice (2010)

Boundary Value Problems [electronic only]

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Displaying similar documents to “Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems.”

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

A p -Laplacian system with resonance and nonlinear boundary conditions on an unbounded domain

Existence and multiplicity of positive solutions for Dirichlet problems in unbounded domains.

Solutions to a perturbed critical semilinear equation concerning the N -Laplacian in ℝ N

On the concentration of solutions of singularly perturbed Hamiltonian systems in ℝ N .

Existence result for a class of nonlinear elliptic systems on punctured unbounded domains.

A $p$ -Laplacian system with resonance and nonlinear boundary conditions on an unbounded domain

Solutions to a perturbed critical semilinear equation concerning the $N$ -Laplacian in $ℝ^{N}$

On the concentration of solutions of singularly perturbed Hamiltonian systems in $ℝ^{N}$ .