A. Bechah
Nontrivial Positive Solutions for Systems with the $p$-Laplacian in $\mathbb{R}^N$ Involving Critical Exponents
The paper is published: Rostocker Mathematisches Kolloquium, Rostock. Math. Kolloq. 55, 73-88 (2001)

MSC:

35J60 Nonlinear PDE of elliptic type

35J20 Variational methods for second-order, elliptic equations

35A05 General existence and uniqueness theorems

Abstract: In this paper we give some results for the existence of positive solutions of $p$-Laplacian systems
in $\mathbb{R}^N$ involving critical exponents. These solutions can be obtained by
variational methods, more precisely by the mountain pass lemma and the
concentration compactness lemma.
Keywords: Nonlinear PDE of elliptic type, Variational methods for second-order, elliptic equations, General existence and uniqueness theorems