On some nonlinear elliptic problems for p-Laplacian in ℝn

Abdelouahed El Khalil; Said El Manouni; Mohammed Ouanan

Journal ArticleOPEN ACCESS

On some nonlinear elliptic problems for p-Laplacian in ℝn

Khalil A
Manouni S
Ouanan M

Nonlinear Differential Equations and Applications (2008) 15(3) 295-307

DOI: 10.1007/s00030-008-7027-y

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Abstract

In this paper, we consider a nonlinear elliptic problem involving the p-Laplacian with perturbation terms in the whole ℝN. Via variational arguments, we obtain existence and regularity of nontrivial solutions. © 2008 Birkhaueser.

Author supplied keywords

Mountain Pass Theorem
Nonlinear elliptic Problems
Palais-Smale Condition
p-Laplacian

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APA

Khalil, A. E., Manouni, S. E., & Ouanan, M. (2008). On some nonlinear elliptic problems for p-Laplacian in ℝn. Nonlinear Differential Equations and Applications, 15(3), 295–307. https://doi.org/10.1007/s00030-008-7027-y

On some nonlinear elliptic problems for p-Laplacian in ℝn

Abstract

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