Open AccessMultiplicity of Solutions for Gradient Systems Using Landesman-Lazer Conditions
Author(s) -
Edcarlos D. da Silva
Publication year - 2010
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2010/237826
Subject(s) - mathematics , multiplicity (mathematics) , eigenvalues and eigenvectors , infinity , mathematical analysis , pure mathematics , quantum mechanics , physics
We establish existence and multiplicity of solutions for an elliptic system which presents resonance at infinity of Landesman-Lazer type. In order to describe the resonance, we use an eigenvalue problem with indefinite weights. In all results, we use Variational Methods, Morse Theory and Critical Groups
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