Open Accessp-Laplacian problems where the nonlinearity crosses an eigenvalue
Author(s) -
Kanishka Perera,
Andrzej Szulkin
Publication year - 2005
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2005.13.743
Subject(s) - eigenvalues and eigenvectors , laplace operator , spectrum (functional analysis) , nonlinear system , mathematics , pure mathematics , p laplacian , mathematical physics , mathematical analysis , physics , quantum mechanics , boundary value problem
Using linking arguments and a cohomological index theory we obtain nontrivial solutions of $p$-Laplacian problems with nonlinearities that interact with the spectrum.
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