Title of article
Pairs of nontrivial solutions for resonant Neumann problems
Author/Authors
Leszek Gasinski، نويسنده , , Leszek and Papageorgiou، نويسنده , , Nikolaos S.، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2013
Pages
15
From page
649
To page
663
Abstract
We study a semilinear Neumann problem which is resonant at ± ∞ with respect to any eigenvalue different from the first and the second eigenvalue of − Δ N (the negative Neumann Laplacian). Using a combination of variational methods with Morse theoretic techniques, we show that the problem has at least two nontrivial smooth solutions.
Keywords
Unique continuation property , resonance , Critical groups , Morse index , Linking sets , Nullity
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2013
Journal title
Journal of Mathematical Analysis and Applications
Record number
1563258
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