Elliptic problems with nonhomogeneous boundary condition and derivatives of nonlinear terms
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
Boundary Value Problems 2014, 2014:6 doi:10.1186/1687-2770-2014-6Published: 7 January 2014
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.