Increasing variational solutions for a nonlinear $p$-laplace equation without growth conditions

Details Increasing variational solutions for a nonlinear $p$-laplace equation without growth conditions Increasing variational solutions for a nonlinear $p$-laplace equation without growth conditions

2010-09-15

arxiv.org/abs/1009.2874v1

Mathematics

Analysis of PDEs

16 pages

Scientific paper

By means of a recent variational technique, we prove the existence of
radially monotone solutions to a class of nonlinear problems involving the
$p$-Laplace operator. No subcriticality condition (in the sense of Sobolev
spaces) is required.

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