TY  - JOUR
ID  - Barnaś2012
LB  - Barnaś2012
AU  - Barnaś, Sylwia
TI  - Existence result for hemivariational inequality involving p(x)-Laplacian
ST  - Existence result for hemivariational inequality involving p(x)-Laplacian
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2012
VL  - 32
IS  - 3
SP  - 439
EP  - 454
DO  - http://dx.doi.org/10.7494/OpMath.2012.32.3.439
UR  - http://dx.doi.org/10.7494/OpMath.2012.32.3.439
AB  - In 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].
KW  - \(p(x)\)-Laplacian
KW  - Palais-Smale condition
KW  - mountain pass theorem
KW  - variable exponent Sobolev space
SN  - 1232-9274
ER  -