Aim of this paper is to give some nonexistence results of nontrivial solutions for quasilinear elliptic equations with singular weights in the whole space. Then, under suitable growth conditions on the nonlinearities, we prove that every weak solution u has the required regularity, so that a Pohozaev-type identity can be applied. From this identity we derive some nonexistence results, improving several theorems already appeared in the literature. In particular, we discuss the case when the nonlinearities are pure powers.
Nonexistence for p-Laplace equations with singular weights
PUCCI, Patrizia;
2010
Abstract
Aim of this paper is to give some nonexistence results of nontrivial solutions for quasilinear elliptic equations with singular weights in the whole space. Then, under suitable growth conditions on the nonlinearities, we prove that every weak solution u has the required regularity, so that a Pohozaev-type identity can be applied. From this identity we derive some nonexistence results, improving several theorems already appeared in the literature. In particular, we discuss the case when the nonlinearities are pure powers.File in questo prodotto:
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