Journal of Advances in Mathematics and Computer Science

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

Mustafa Avci *

Batman University, Faculty of Economics and Administrative Sciences, Turkey.

*Author to whom correspondence should be addressed.

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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.

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

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