Browsing by Subject "variable exponent Sobolev space"
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Item type:Article, Access status: Open Access , Existence result for hemivariational inequality involving p(x)-Laplacian(2012) Barnaś, SylwiaIn this paper we study the nonlinear elliptic problem with $p(x)$-Laplacian (hemivariational inequality). We prove the existence of a nontrivial solution. Our approach is based on critical point theory for locally Lipschitz functionals due to Chang [J. Math. Anal. Appl. 80 (1981), 102-129].
