The existence of at least two nonnegative smooth solutions to a homogeneous Dirichlet problem with p-Laplacian and reaction (p-1)-linear, but asymmetric, at infinity is investigated through variational and truncation techniques. The case $p=2$ is separately examined, obtaining a third nontrivial smooth solution via Morse's theory.
On a Dirichlet problem with p-Laplacian and asymmetric nonlinearity
MARANO, Salvatore Angelo;
2015-01-01
Abstract
The existence of at least two nonnegative smooth solutions to a homogeneous Dirichlet problem with p-Laplacian and reaction (p-1)-linear, but asymmetric, at infinity is investigated through variational and truncation techniques. The case $p=2$ is separately examined, obtaining a third nontrivial smooth solution via Morse's theory.File in questo prodotto:
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