TY - JOUR
T1 - Solutions to p(x)-Laplace type equations via nonvariational techniques
AU - Avci, Mustafa
N1 - Publisher Copyright:
© Wydawnictwa AGH, Krakow 2018.
PY - 2018
Y1 - 2018
N2 - 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.
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 - Approximation
KW - Leray–Lions type operator
KW - Nonlinear monotone operator
KW - Variable Lebesgue spaces
UR - http://www.scopus.com/inward/record.url?scp=85045881240&partnerID=8YFLogxK
U2 - 10.7494/OpMath.2018.38.3.291
DO - 10.7494/OpMath.2018.38.3.291
M3 - Journal Article
AN - SCOPUS:85045881240
SN - 1232-9274
VL - 38
SP - 291
EP - 305
JO - Opuscula Mathematica
JF - Opuscula Mathematica
IS - 3
ER -