Results 101 to 110 of about 1,368 (124)

Existence and Asymptotic Behavior for the Ground State of Quasilinear Elliptic Equations

Advanced Nonlinear Studies, 2018
In this paper, we are concerned with the existence and asymptotic behavior of minimizers of a minimization problem related to some quasilinear elliptic equations.
Zeng Xiaoyu, Zhang Yimin
doaj   +1 more source

Asymmetric Robin Problems with Indefinite Potential and Concave Terms

Advanced Nonlinear Studies, 2019
We consider a parametric semilinear Robin problem driven by the Laplacian plus an indefinite and unbounded potential. In the reaction, we have the competing effects of a concave term appearing with a negative sign and of an asymmetric asymptotically ...
Papageorgiou Nikolaos S., Rădulescu Vicenţiu D., Repovš Dušan D.   +2 more
doaj   +1 more source

Ressonant elliptic problems under Cerami condition [PDF]

arXiv, 2012
We establish existence and multiplicity of solutions for a elliptic resonant elliptic problem under Dirichlet boundary conditions.
arxiv  

Regularity, positivity and asymptotic vanishing of solutions of a φ-Laplacian

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this note we prove that solutions of a φ-Laplacian operator on the entire space ℝN are locally regular (Hölder continuous), positive and vanish at infinity. Mild restrictions are imposed on the right-hand side of the equation. For example, we assume a
Arriagada Waldo, Huentutripay Jorge
doaj   +1 more source

Multiple $\mathbb{S}^{1}$-orbits for the Schrödinger-Newton system [PDF]

arXiv, 2013
We prove existence and multiplicity of symmetric solutions for the \emph{Schr\"odinger-Newton system} in three dimensional space using equivariant Morse theory.
arxiv  

Nondegeneracy of positive solutions to nonlinear Hardy–Sobolev equations

Advances in Nonlinear Analysis, 2017
In this note, we prove that the kernel of the linearized equation around a positive energy solution in ℝn${\mathbb{R}^{n}}$, n≥3${n\geq 3}$, to the problem -Δ⁢W-γ⁢|x|-2⁢V=|x|-s⁢W2⋆⁢(s)-1$-\Delta W-\gamma|x|^{-2}V=|x|^{-s}W^{2^{\star}(s)-1}$ is one ...
Robert Frédéric
doaj   +1 more source

A new rearrangement inequality and its application for L^2-constraint minimizing problems [PDF]

arXiv, 2013
We study $L^2$-constraint minimizing problems related to elliptic systems. We introduce a new rearrangement to show $H^1$-precompactness of any minimizing sequences. Some strict inequality for the new rearrangement is obtained. It is a key to exclude the dichotomy of minimizing sequences.
arxiv  

Multiple solutions to logarithmic Schrodinger equations with periodic potential [PDF]

arXiv, 2014
We study a class of logarithmic Schrodinger equations with periodic potential which come from physically relevant situations and obtain the existence of infinitely many geometrically distinct solutions.
arxiv  

Existence results for an elliptic DirichletI problem

Le Matematiche, 2011
The main purpose of this paper is to present recent existence results for an elliptic eigenvalue Dirichlet problem. Precisely, our method ensures the existence of an exactly determined open interval (possibly unbounded) of positive parameters for which ...
Giuseppina D'Aguì, Giovanni Molica Bisci   +1 more
doaj  

On a class of nonlocal nonlinear Schrödinger equations with potential well

Advances in Nonlinear Analysis, 2019
In this paper we investigate the existence, multiplicity and asymptotic behavior of positive solution for the nonlocal nonlinear Schrödinger equations. We exploiting the relationship between the Nehari manifold and eigenvalue problems to discuss how the ...
Wu Tsung-fang
doaj   +1 more source