Artículo
Nonlinear elliptic equations with measure valued absorption potentials
Fecha de publicación:
03/2021
Editorial:
Scuola Normale Superiore
Revista:
Annali Della Scuola Normale Superiore Di Pisa Cl. Di Scienze - Iv
ISSN:
0391-173X
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We study the semilinear elliptic equation −αu+g(u)σ = µ with Dirichlet boundary conditions in a smooth bounded domain where σ is a nonnegative Radon measure, µ a Radon measure and g is an absorbing nonlinearity. We show that the problem is well posed if we assume that σ belongs to some Morrey class. Under this condition we give a general existence result for any bounded measure provided g satisfies a subcritical integral assumption. We study also the supercritical case when g(r) = |r| q−1 r, with q > 1 and µ satisfies an absolute continuity condition expressed in terms of some capacities involving σ.
Palabras clave:
RADON MEASURE
,
MORREY CLASS
,
CAPACITIES
,
POTENTIAL ESTIMATES
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Identificadores
Colecciones
Articulos(OCA CIUDAD UNIVERSITARIA)
Articulos de OFICINA DE COORDINACION ADMINISTRATIVA CIUDAD UNIVERSITARIA
Articulos de OFICINA DE COORDINACION ADMINISTRATIVA CIUDAD UNIVERSITARIA
Citación
Saintier, Nicolas Bernard Claude; Véron, Laurent; Nonlinear elliptic equations with measure valued absorption potentials; Scuola Normale Superiore; Annali Della Scuola Normale Superiore Di Pisa Cl. Di Scienze - Iv; 22; 1; 3-2021; 351-397
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