Results 81 to 90 of about 1,192 (101)

Nodal solutions for a zero-mass Chern-Simons-Schrödinger equation

Advances in Nonlinear Analysis
This study deals with the existence of nodal solutions for the following gauged nonlinear Schrödinger equation with zero mass: −Δu+hu2(∣x∣)∣x∣2+∫∣x∣+∞hu(s)su2(s)dsu=∣u∣p−2u,x∈R2,-\Delta u+\left(\frac{{h}_{u}^{2}\left(| x| )}{{| x| }^{2}}+\underset{| x| }{
Deng Yinbin, Liu Chenchen, Yang Xian
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A Diffusion Equation with a Variable Reaction Order

Advanced Nonlinear Studies, 2018
This paper deals with the ...
García-Melián Jorge, Rossi Julio D., Sabina de Lis José C.   +2 more
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Generalized Schrodinger-Poisson type systems [PDF]

arXiv, 2010
In this paper we study some Schrodinger-Poisson type systems on a bounded domain, with Dirichlet boundary condition on both the variables.
arxiv  

Ground states for Schrödinger-Poisson system with zero mass and the Coulomb critical exponent

Advances in Nonlinear Analysis
This article focuses on the study of the following Schrödinger-Poisson system with zero mass: −Δu+ϕu=∣u∣u+f(u),x∈R3,−Δϕ=u2,x∈R3,\left\{\begin{array}{ll}-\Delta u+\phi u=| u| u+f\left(u),& x\in {{\mathbb{R}}}^{3},\\ -\Delta \phi ={u}^{2},& x\in {{\mathbb ...
Zhang Jing, Qin Dongdong, Sahara Siti, Wu Qingfang   +3 more
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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
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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
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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
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Multiplicity of 1D-concentrating positive solutions to the Dirichlet problem for equation with $p$-Laplacian [PDF]

arXiv, 2012
We prove the multiplicity of spike-layer type solutions to the Dirichlet problem for the equation $-\Delta_p u = u^{q-1}$ in expanding annuli.
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
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