We study the maximum principle, the existence of eigenvalue and the existence of solution for the Dirichlet problem relative to operators which are fully-nonlinear, elliptic but presenting some Singularity or degeneracy which are similar to those of the p-Laplacian, we consider the equations in bounded domains which only satisfy the exterior cone condition. (C) 2008 Elsevier Inc. All rights reserved.
Eigenvalue and Dirichlet problem for fully-nonlinear operators in non-smooth domains / Birindelli, Isabella; F., Demengel. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 352:2(2009), pp. 822-835. [10.1016/j.jmaa.2008.11.012]
Eigenvalue and Dirichlet problem for fully-nonlinear operators in non-smooth domains
BIRINDELLI, Isabella;
2009
Abstract
We study the maximum principle, the existence of eigenvalue and the existence of solution for the Dirichlet problem relative to operators which are fully-nonlinear, elliptic but presenting some Singularity or degeneracy which are similar to those of the p-Laplacian, we consider the equations in bounded domains which only satisfy the exterior cone condition. (C) 2008 Elsevier Inc. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.