TY  - JOUR
ID  - Avci2018
LB  - Avci2018
AU  - Avci, Mustafa
TI  - Solutions to p(x)-Laplace type equations via nonvariational techniques
ST  - Solutions to p(x)-Laplace type equations via nonvariational techniques
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2018
VL  - 38
IS  - 3
SP  - 291
EP  - 305
DO  - https://doi.org/10.7494/OpMath.2018.38.3.291
UR  - https://doi.org/10.7494/OpMath.2018.38.3.291
AB  - In this article, we consider a class of nonlinear Dirichlet problems driven by a Leray-Lions type operator with variable exponent. The main result establishes an existence property by means of nonvariational arguments, that is, nonlinear monotone operator theory and approximation method. Under some natural conditions, we show that a weak limit of approximate solutions is a solution of the given quasilinear elliptic partial differential equation involving variable exponent.
KW  - Leray-Lions type operator
KW  - nonlinear monotone operator
KW  - approximation
KW  - variable Lebesgue spaces
SN  - 1232-9274
ER  -