Multiplicity results for some elliptic systems near resonance with a nonprincipal eigenvalue
β Scribed by Hong-Min Suo; Chun-Lei Tang
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 351 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0362-546X
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## Abstract Let us consider the boundaryβvalue problem equation image where __g__: β β β is a continuous and __T__ βperiodic function with zero mean value, not identically zero, (__Ξ»__, __a__) β β^2^ and $ \tilde h $ β __C__ [0, __Ο__ ] with β«^__Ο__^ ~0~ $ \tilde h $(__x__) sin __x dx__ = 0. If _
In this work, we consider an elliptic system of two equations in dimension greater than one, with nonlinearities which are linear at -β and superlinear at +β. We prove, by variational techniques which involve a strongly indefinite functional, the existence of two solutions for suitable forcing term