TITLE

Semilinear elliptic equations with singular nonlinearities

AUTHOR(S)
Boccardo, Lucio; Orsina, Luigi
PUB. DATE
March 2010
SOURCE
Calculus of Variations & Partial Differential Equations;Mar2010, Vol. 37 Issue 3/4, p363
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We prove existence, regularity and nonexistence results for problems whose model is with zero Dirichlet conditions on the boundary of an open, bounded subset Ω of $${\mathbb{R}^{N}}$$. Here γ > 0 and f is a nonnegative function on Ω. Our results will depend on the summability of f in some Lebesgue spaces, and on the values of γ (which can be equal, larger or smaller than 1).
ACCESSION #
47955918

 

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