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Multiplicity results for some elliptic systems near resonance with a nonprincipal eigenvalue

✍ 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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πŸ“œ SIMILAR VOLUMES


Multiplicity results near the principal
✍ A. CaΓ±ada πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 119 KB

## Abstract Let us consider the boundary‐value problem equation image where __g__: ℝ β†’ ℝ is a continuous and __T__ ‐periodic function with zero mean value, not identically zero, (__Ξ»__, __a__) ∈ ℝ^2^ and $ \tilde h $ ∈ __C__ [0, __Ο€__ ] with ∫^__Ο€__^ ~0~ $ \tilde h $(__x__) sin __x dx__ = 0. If _

Multiplicity results for a superlinear e
✍ Eugenio Massa πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 211 KB

In this work, we consider an elliptic system of two equations in dimension greater than one, with nonlinearities which are linear at -∞ and superlinear at +∞. We prove, by variational techniques which involve a strongly indefinite functional, the existence of two solutions for suitable forcing term