We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
SOLUTIONS TO p(x)-LAPLACE TYPE EQUATIONS VIA NONVARIATIONAL TECHNIQUES.
- Authors
Avci, Mustafa
- Abstract
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.
- Subjects
DIRICHLET problem; OPERATOR theory; APPROXIMATION theory; LAPLACE'S equation; PARTIAL differential equations
- Publication
Opuscula Mathematica, 2018, Vol 38, Issue 3, p291
- ISSN
1232-9274
- Publication type
Article
- DOI
10.7494/OpMath.2018.38.3.291