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

El Hamidi, Abdallah

Displaying similar documents to “Multiple solutions to a nonlinear elliptic equation involving Paneitz type operators.”

Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems.

De Nàpoli, Pablo L., Mariani, M.Cristina (2002)

Abstract and Applied Analysis

Similarity:

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

Wu, Tsung-Fang (2007)

Abstract and Applied Analysis

Similarity:

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

Elliot Tonkes (1999)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

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

Similarity:

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

Dimitrios A. Kandilakis, Manolis Magiropoulos (2007)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

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

Colin, Fabrice (2010)

Boundary Value Problems [electronic only]

Similarity:

Variant of Lax--Milgram lemma for Banach spaces.

Doboş, Gheorghe (2003)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

Similarity:

Displaying similar documents to “Multiple solutions to a nonlinear elliptic equation involving Paneitz type operators.”

Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems.

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 .

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

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

Variant of Lax--Milgram lemma for Banach spaces.

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 $ℝ^{N}$ .

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