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Research Article Open access CC BY 4.0

Nontrivial Weak Solutions of a Quasilinear Equation Involving p-Laplace Operator

Mustafa Avci

Journal of Advances in Mathematics and Computer Science · pp. 112–118 · Published 17 Dec 2014

10.9734/BJMCS/2015/13221

Abstract

In the present paper, using direct variational approach, and the monotone operator method, the existence of nontrivial solutions for a quasilinear elliptic equation involving the p-Laplace operator is obtained.

p-Laplace operator variational approach monotone operator method quasilinear elliptic equation Sobolev spaces.

References (7)

  1. 1 Dual variational methods in critical point theory and applications [DOI]
  2. 2 Minimax Theorems
  3. 3 Nonlinear Differential Equations [DOI]
  4. 4 Local superlinearity and sublinearity for indefinite semilinear elliptic problems [DOI]
  5. 5 Methods of Nonlinear Analysis: Applications to Differential Equations [DOI]
  6. 6 Nontrivial Solutions for Perturbations of the p-Laplacian on Unbounded Domains [DOI]
  7. 7 Existence and multiplicity of solutions for a class of superlinear p-Laplacian equations [DOI]

Cited by 2

Multiple solutions for the p-Laplacian problem with supercritical exponent

Yansheng Zhong · Boundary Value Problems · 2015

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