EXISTENCE RESULTS FOR STEKLOV PROBLEM WITH NONLINEAR BOUNDARY CONDITION
EXISTENCE RESULTS FOR STEKLOV PROBLEM WITH NONLINEAR BOUNDARY CONDITION
In this article, we study the nonlinear Steklov boundary value problem. The existence of a nontrivial weak solution is obtained on variable exponent Sobolev spaces, by means of the Mountain Pass theorem.
Keywords:
variational methods, , p(x)-Laplace operator, Steklov boundary value,
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- 1. Ayoujil A., On the superlinear Steklov problem involving the p(x)-Laplacian, EJQTDE, Vol.38, pp.1–13, 2014. 2. Ben Ali K., Existence results for Steklov problem involving the p(x)-Laplacian, Complex Var. and Elliptic Equ. 2017.
- ISSN: 2618-6136
- Yayın Aralığı: Yılda 2 Sayı
- Başlangıç: 2015
- Yayıncı: INESEG Yayıncılık
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