Elliptic problems with nonhomogeneous boundary condition and derivatives of nonlinear terms

Dumitru Motreanu (1) , Viorica V Motreanu (2)

1 LAMPS - LAboratoire de Modélisation Pluridisciplinaire et Simulations
2 Department of Mathematics [Be'er Sheva]

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.

Mots clés: quasilinear elliptic problem; nonhomogeneous Dirichlet boundary conditions; existence result

Domaines: Mathématiques [math]

Dumitru Motreanu, Viorica V Motreanu. Elliptic problems with nonhomogeneous boundary condition and derivatives of nonlinear terms. Boundary Value Problems, 2014, 2014 (1), http://www.boundaryvalueproblems.com/content/2014/1/6. ⟨10.1186/1687-2770-2014-6⟩. ⟨hal-01142961⟩