Work

Concave-convex effects for critical quasilinear elliptic problems

Year: 2016

Type: preprint

Abstract: It is established existence, multiplicity and asymptotic behavior of positive solutions for a quasilinear elliptic problem driven by the $Φ$-Laplacian operator. One of these solutions is obtained as ground state solution by applying the well known Nehari method. The semilinear term in the quasilinear equation is a concave-convex function which presents a critical behavior at infinity. The concentration compactness principle is used in order to recover the compactness required in variational methods.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1610.04652

Authors: Goulart, C., da Silva, E. D., Carvalho, M. L. M., Goncalves, J. V.

Institution: Universidade Federal de Goiás

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Conselho Nacional de Desenvolvimento Científico e Tecnológico

OpenAlex ID: W2534844235

Cites: 33

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Related to: 10