Para acceder a los documentos con el texto completo, por favor, siga el siguiente enlace: http://hdl.handle.net/2117/84612

Título:	Nonexistence results for nonlocal equations with critical and supercritical nonlinearities
Autor/a:	Ros Oton, Xavier; Serra Montolí, Joaquim
Otros autores:	Universitat Politècnica de Catalunya. EDP - Equacions en Derivades Parcials i Aplicacions
Abstract:	We prove nonexistence of nontrivial bounded solutions to some nonlinear problems involving nonlocal operators of the form; [GRAPHICS]; These operators are infinitesimal generators of symmetric Levy processes. Our results apply to even kernels K satisfying that K(y)|y|( n+sigma) is nondecreasing along rays from the origin, for some sigma is an element of (0, 2) in case a ( ij ) equivalent to 0 and for sigma = 2 in case that (a ( ij )) is a positive definite symmetric matrix.; Our nonexistence results concern Dirichlet problems for L in star-shaped domains with critical and supercritical nonlinearities (where the criticality condition is in relation to n and sigma).; We also establish nonexistence of bounded solutions to semilinear equations involving other nonlocal operators such as the higher order fractional Laplacian (- Delta)( s ) (here s > 1) or the fractional p-Laplacian. All these nonexistence results follow from a general variational inequality in the spirit of a classical identity by Pucci and Serrin.
Abstract:	Peer Reviewed
Materia(s):	-35J60 -45K05 -Nonexistence -Integro-differential operators -Supercritical nonlinearities -Fractional Laplacian -FRACTIONAL LAPLACIAN -ELLIPTIC-EQUATIONS -POHOZAEV IDENTITY -OPERATORS -INEQUALITIES -BOUNDARY -35J60 -45K05
Derechos:
Tipo de documento:	Artículo - Versión presentada Artículo
Compartir:

Mostrar el registro completo del ítem