Solutions to p(x)-Laplace type equations via nonvariational techniques

• Autorzy: Avci M.

Identyfikatory

DOI

10.7494/OpMath.2018.38.3.291

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Leray-Lions type operator; nonlinear monotone operator; approximation; variable Lebesgue spaces

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2018
• Tom: Vol. 38, no. 3
• Strony: 291--305
• Opis fizyczny: Bibliogr. 32 poz.

Twórcy

autor

Avci M.

• Faculty of Economics and Administrative Sciences Batman University, Turkey

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).