Four Nontrivial Solutions for Kirchhoff Problems with Critical Potential, Critical Exponent and a Concave Term - Applied Mathematics

AM > Vol.6 No.14, December 2015

Applied Mathematics

Volume 6, Issue 14 (December 2015)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

Four Nontrivial Solutions for Kirchhoff Problems with Critical Potential, Critical Exponent and a Concave Term ()

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DOI: 10.4236/am.2015.614198 3,541 Downloads 4,254 Views Citations

Author(s)

Mohammed El Mokhtar Ould El Mokhtar

Affiliation(s)

Departement of Mathematics, College of Science, Qassim University, Buraidah, Kingdom of Saudi Arabia.

ABSTRACT

In this paper, we consider the existence of multiple solutions to the Kirchhoff problems with critical potential, critical exponent and a concave term. Our main tools are the Nehari manifold and mountain pass theorem.

KEYWORDS

Kirchhoff Problems, Critical Potential, Concave term, Nehari Manifold, Mountain Pass Theorem

Share and Cite:

Mokhtar, M. (2015) Four Nontrivial Solutions for Kirchhoff Problems with Critical Potential, Critical Exponent and a Concave Term. Applied Mathematics, 6, 2248-2256. doi: 10.4236/am.2015.614198.

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