Multiplicity of solutions for Robin problem involving the p(x)-laplacian

Author:

Belaouidel Hassan1,Ourraoui Anass2,Tsouli Najib2

Affiliation:

1. Faculty of Sciences , University Mohamed I , Oujda , Morocco

2. Department of Mathematics and Computer Science, Faculty of Sciences , University Mohamed I , Oujda , Morocco

Abstract

Abstract This paper is concerned with the existence and multiplicity of solutions for p(x)-Laplacian equations with Robin boundary condition. Our technical approach is based on variational methods.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference33 articles.

1. [1] M. Allaoui, A. El Amrouss and A. Ourraoui, On a Class of Nonlocal p(x)-Laplacian Neumann Problems, Thai Journal of Mathematics, Volume 15 (2017) Number 1, 91–105.

2. [2] A. Allaoui, A. El Amrouss, A. Ourraoui, Three Solutions For A Quasi-Linear Elliptic Problem, Applied Mathematics E-Notes, 13 (2013), 51–59.

3. [3] G. A. Afrouzi, A. Hadjian, S. Heidarkhani, Steklove problems involving the p(x)-Laplacian, Electronic Journal of Differential Equations, Vol. 2014 (2014) No. 134, 1–11.

4. [4] S. Antontsev, S. Shmarev, Handbook of Differential Equations, Stationary Partial Differ. Equ. 3 (2006). Chap. 110.1016/S1874-5733(06)80005-7

5. [5] B. Ricceri, A three critical points theorem revisited, Nonlinear Anal., 70 (2009), 3084–3089.10.1016/j.na.2008.04.010

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