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Open Access Research

Elliptic problems with nonhomogeneous boundary condition and derivatives of nonlinear terms

Dumitru Motreanu1 and Viorica V Motreanu2*

Author Affiliations

1 Département de Mathématiques, Université de Perpignan, Perpignan, 66860, France

2 Department of Mathematics, Ben Gurion University of the Negev, Be’er Sheva, 84105, Israel

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Boundary Value Problems 2014, 2014:6  doi:10.1186/1687-2770-2014-6

Published: 7 January 2014

Abstract

The paper presents existence results for nonlinear elliptic problems under a nonhomogeneous Dirichlet boundary condition. The considered elliptic equations exhibit nonlinearities containing derivatives of the solution.

MSC: 35H30, 35A16.

Keywords:
quasilinear elliptic problem; nonhomogeneous Dirichlet boundary conditions; existence result