The existence of bounded solutions of a semilinear elliptic equation
نویسندگان
چکیده
منابع مشابه
Existence 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 کاملExistence and multiplicity of positive solutions for a class of semilinear elliptic system with nonlinear boundary conditions
This study concerns the existence and multiplicity of positive weak solutions for a class of semilinear elliptic systems with nonlinear boundary conditions. Our results is depending on the local minimization method on the Nehari manifold and some variational techniques. Also, by using Mountain Pass Lemma, we establish the existence of at least one solution with positive energy.
متن کاملExistence and uniqueness of solutions for a semilinear elliptic system
We consider the existence, the nonexistence, and the uniqueness of solutions of some special systems of nonlinear elliptic equations with boundary conditions. In a particular case, the system reduces to the homogeneous Dirichlet problem for the biharmonic equation ∆ 2 u = |u| p in a ball with p > 0.
متن کاملExistence and Uniqueness of Solutions to a Semilinear Elliptic System
In this article, we show the existence and uniqueness of smooth solutions for boundary-value problems of semilinear elliptic systems.
متن کاملSeparation property of solutions for a semilinear elliptic equation
In this paper, we study the following elliptic problem ∆u+K(x)u p = 0 in R u > 0 in R (∗) where K(x) is a given function in Cα(R \ 0) for some fixed α ∈ (0, 1), p > 1 is a constant. Some existence, monotonicity and asymptotic expansion at infinity of solutions of (∗) are discussed. ∗Research supported in part by the Natural Science Foundation of China and NSFC †Research supported in part b...
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: Journal of Differential Equations
سال: 1989
ISSN: 0022-0396
DOI: 10.1016/0022-0396(89)90131-9