Multiplicity results for superlinear elliptic problems with partial interference with the spectrum
β Scribed by Bernhard Ruf; P.N Srikanth
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 331 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0022-247X
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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 paper, we use Fucik spectrum, ordinary differential equation theory of Banach spaces to study semilinear elliptic boundary value problems with jumping nonlinearities at zero or infinity, especially with resonance at infinity, and obtain new results on the existence of multiple solutions and