Existence of multiple nontrivial solutions for semilinear elliptic problems
نویسندگان
چکیده
منابع مشابه
Multiple Nontrivial Solutions of Elliptic Semilinear Equations
We find multiple solutions for semilinear boundary value problems when the corresponding functional exhibits local splitting at zero.
متن کاملNontrivial Solutions for Semilinear Elliptic Problems with Resonance
where Ω ⊂ R (N ≥ 1) is a bounded smooth domain, λk is an eigenvalue of the problem −Δu = λu in Ω, u = 0 on ∂Ω, and f : Ω × R → R is a Carathéodory function. If f(x, 0) = 0 for a.e. x ∈ Ω the constant u = 0 is a trivial solution of the problem (P). In this case, the key point is proving the existence of nontrivial solutions for (P). For this purpose, we need to introduce some conditions on the b...
متن کاملExistence and multiplicity of nontrivial solutions for double resonance semilinear elliptic problems
We consider resonance problems at an arbitrary eigenvalue of the Laplacien. We prove the existence of nontrivial solutions for some semilinear elliptic Dirichlet boundary values problems. We also obtain two nontrivial solutions by using Morse theory.
متن کاملExistence of Solutions for Semilinear Elliptic Problems without (ps) Condition
We establish an existence result for semilinear elliptic problems with the associated functional not satisfying the Palais-Smale condition. The nonlinearity of our problem does not satisfy the Ambrosetti-Rabinowitz condition.
متن کاملExistence of Positive Bounded Solutions of Semilinear Elliptic Problems
Correspondence should be addressed to Faten Toumi, [email protected] Received 18 June 2010; Accepted 25 September 2010 Academic Editor: A. Mikelic Copyright q 2010 Faten Toumi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Thi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2009
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2009.01.023