Quasilinear elliptic problems with concave–convex nonlinearities-Reference-Cited by-同舟云学术

Quasilinear elliptic problems with concave–convex nonlinearities

Published:2017-08-30 Issue:06 Volume:19 Page:1650050
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

Carvalho M. L. M.¹,da Silva Edcarlos D.¹,Goulart C.²

Affiliation:

1. Universidade Federal de Goiás, IME, Goiânia-GO, Brazil

2. Universidade Federal de Goiás, Regional Jataí, Jataí, Brazil

Abstract

In this paper, the existence and multiplicity of solutions for a quasilinear elliptic problem driven by the [Formula: see text]-Laplacian operator is established. These solutions are also built as ground state solutions using the Nehari method. The main difficulty arises from the fact that the [Formula: see text]-Laplacian operator is not homogeneous and the nonlinear term is indefinite.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199716500504

Reference39 articles.

1. On existence of solution of variational multivalued elliptic equations with critical growth via the Ekeland principle

2. Combined Effects of Concave and Convex Nonlinearities in Some Elliptic Problems

3. Dual variational methods in critical point theory and applications

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