We find nontrivial smooth solutions for nonlinear elliptic Dirichlet problems driven by the p-Laplacian (
),
when one sided resonance occurs at the principal spectral interval.
George Smyrlis
Abstract:
We find nontrivial smooth solutions for nonlinear elliptic
Dirichlet problems driven by the p-Laplacian (
),
when one sided resonance occurs at the principal spectral interval.
Submitted March 21, 2012. Published November 29, 2012.
Math Subject Classifications: 35J80, 35J85, 58E05.
Key Words: One sided resonance; principal spectral interval;
Cerami-condition; critical groups; Morse theory.
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George Smyrlis Technological Educational Institute of Athens Department of Mathematics Athens 12210, Greece email: gsmyrlis@teiath.gr, gsmyrlis@syros.aegean.gr |
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