Multiplicity of solutions for quasilinear elliptic problems involving Φ-Laplacian operator and critical growth

Li, Xuewei and Jia, Gao: Multiplicity of solutions for quasilinear elliptic problems involving Φ-Laplacian operator and critical growth. Electronic journal of qualitative theory of differential equations 6. pp. 1-15. (2019)

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Abstract

In this paper, we study a class of quasilinear elliptic equations with ΦLaplacian operator and critical growth. Using the symmetric mountain pass theorem and the concentration-compactness principle, we demonstrate that there exists λi > 0 such that our problem admits i pairs of nontrivial weak solutions provided λ ∈ (0, λi).

Item Type: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations
Date: 2019
Number: 6
Page Range: pp. 1-15
ISSN: 1417-3875
DOI: https://doi.org/10.14232/ejqtde.2019.1.6
Uncontrolled Keywords: Differenciálegyenlet - elliptikus
Additional Information: Bibliogr.: p. 14-15. ; összefoglalás angol nyelven
Date Deposited: 2019. May. 31. 07:01
Last Modified: 2019. May. 31. 07:01
URI: http://acta.bibl.u-szeged.hu/id/eprint/58111

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