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A Multiplicity Result for a Nonlinear Boundary Value Problem

✍ Scribed by Kim Goudreau

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
196 KB
Volume
218
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper, we establish existence and multiplicity results for the problem Ε½ . Ε½. w x Ε½ . Ε½ . xΠ‰ q x q f t, x, xЈ s s t a.e. in 0, ; x 0 s x s β₯ , under the Ambrosetti᎐Prodi type condition, with f being a Caratheodory function.

πŸ“œ SIMILAR VOLUMES

Multiplicity results near the principal
Multiplicity results near the principal eigenvalue for boundary-value problems with periodic nonlinearity
✍ 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 _