Journals Information
Universal Journal of Applied Mathematics Vol. 1(3), pp. 192 - 197
DOI: 10.13189/ujam.2013.010306
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Existence of Weak Solutions for a Nonlocal Problem Involving the p(x)-Laplace Operator
Mustafa Avci *
Faculty of Economics and Administrative Sciences, Batman University, Batman, Turkey
ABSTRACT
This paper deals with the existence of weak solutions for some nonlocal problem involving the p (x)- Laplace operator. Using a direct variational method and the theory of the variable exponent Sobolev spaces, we set some conditions that ensures the existence of nontrivial weak solutions.
KEYWORDS
p(x)-Laplace operator, p (x)-Kirchhoff-type equations, variable exponent Sobolev spaces, variational method, mountain pass theorem, Ekeland variational principle
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Mustafa Avci , "Existence of Weak Solutions for a Nonlocal Problem Involving the p(x)-Laplace Operator," Universal Journal of Applied Mathematics, Vol. 1, No. 3, pp. 192 - 197, 2013. DOI: 10.13189/ujam.2013.010306.
(b). APA Format:
Mustafa Avci (2013). Existence of Weak Solutions for a Nonlocal Problem Involving the p(x)-Laplace Operator. Universal Journal of Applied Mathematics, 1(3), 192 - 197. DOI: 10.13189/ujam.2013.010306.