Three positive solutions of semilinear elliptic equations in the half space with a hole
نویسندگان
چکیده
منابع مشابه
Minimal positive solutions for systems of semilinear elliptic equations
The paper is devoted to a system of semilinear PDEs containing gradient terms. Applying the approach based on Sattinger’s iteration procedure we use sub and supersolutions methods to prove the existence of positive solutions with minimal growth. These results can be applied for both sublinear and superlinear problems.
متن کاملSymmetry-Breaking for Positive Solutions of Semilinear Elliptic Equations
In a recent interesting paper, GIDAS, NI, and NIRENBERG [2] proved that positive solutions of the Dirichlet problem for second-order semi-linear elliptic equations on balls must themselves be spherically symmetric functions. Here we consider the bifurcation problem for such solutions. Specifically, we investigate the ways in which the symmetric solution can bifurcate into a nonsymmetric solutio...
متن کاملA remark on the uniqueness of positive solutions to semilinear elliptic equations with double power nonlinearities
We consider the uniqueness of positive solutions to
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 کاملMultiple 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 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: 2006
ISSN: 0022-0396
DOI: 10.1016/j.jde.2006.03.024