Least energy solutions for an elliptic problem involving sublinear term and peaking phenomenon
type: Item
instance of: scholarly article
title: Least energy solutions for an elliptic problem involving sublinear term and peaking phenomenon
zbMATH Open document ID: 1326.35108
author: Qiuping Lu
author: Zhi Ling
published in: Communications on Pure and Applied Analysis
publication date: 2015-10-16T00:00:00Z
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 6495286
zbMATH Keywords: semilinear elliptic equation
zbMATH Keywords: least energy solution
zbMATH Keywords: sublinear
zbMATH Keywords: singular perturbation
MaRDI profile type: Publication
full work available at URL: cpaa.2015.14.2411
OpenAlex ID: W2524305157
cites work: Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\)
cites work: Nonlinear scalar field equations. I: Existence of a ground state
cites work: Singularly perturbed nonlinear Dirichlet problems with a general nonlinearity
cites work: On the existence and profile of multi-peaked solutions to singularly perturbed semilinear Dirichlet problems
cites work: Uniqueness and stability of regional blow-up in a porous-medium equation
cites work: On a semilinear elliptic problem in \(\mathbb{R}^ N\) with a non-Lipschitzian nonlinearity
cites work: Symmetry in an elliptic problem and the blow—up set of
cites work: Uniqueness of positive solutions of \(\Delta u+f(u)=0\) in \(\mathbb{R}^N\), \(N\geqq 3\)
cites work: Concentration for an elliptic equation with singular nonlinearity
cites work: Radial solutions of an elliptic equation with singular nonlinearity
cites work: Singular perturbed problems in the zero mass case: asymptotic behavior of spikes
cites work: Spike-layered solutions of singularly perturbed elliptic problems in a degenerate setting
cites work: Multi-peak solutions for some singular perturbation problems
cites work: On the role of distance function in some singular perturbation problems
cites work: Q3726641
cites work: On the existence of positive entire solutions of a semilinear elliptic equation
cites work: Asymptotic shape and location of small cores in elliptic free-boundary problems
cites work: On a blow-up set for the quasilinear heat equation \(u_ t=(u^ \sigma u_ x)_ x + u^{\sigma+1}\)
cites work: Symmetry and related properties via the maximum principle
cites work: Elliptic Partial Differential Equations of Second Order
cites work: Symmetry of the blow‐up set of a porous medium type equation
cites work: A remark on least energy solutions in $\mathbf {R}^N$
cites work: Symmetry results for reaction-diffusion equations
cites work: Q4266425
cites work: Multiple solutions with compact support for a semilinear elliptic problem with critical growth
cites work: On the shape of least‐energy solutions to a semilinear Neumann problem
cites work: Locating the peaks of least-energy solutions to a semilinear Neumann problem
cites work: On the location and profile of spike‐layer solutions to singularly perturbed semilinear dirichlet problems
cites work: The Effect of the Domain Geometry in Singular Perturbation Problems
cites work: Uniqueness of non-negative solutions of semilinear equations in \({\mathbb{R}}^ n\)
cites work: On a class of nonlinear Schrödinger equations
cites work: Uniqueness of ground states for quasilinear elliptic equations
cites work: Q3997570
cites work: On the construction of single-peaked solutions to a singularly perturbed semilinear Dirichlet problem
DOI: 10.3934/CPAA.2015.14.2411
Recommended article: Locating the peaks of the least energy solutions to an elliptic system with Dirichlet boundary conditions
Recommended article: Locating the peaks of the least energy solutions to an elliptic system with Neumann boundary conditions
Recommended article: Locating the peaks of least-energy solutions to a quasilinear elliptic Neumann problem
Recommended article: Locating the peaks of least-energy solutions to a semilinear Neumann problem
Recommended article: Locating the peaks of least-energy solutions to a quasilinear elliptic Neumann problem. II.
Recommended article: Least energy solutions for elliptic equations in unbounded domains
Recommended article: On the location of the peaks of least-energy solutions to semilinear Dirichlet problems with critical growth
Recommended article: Solutions to sublinear elliptic equations with finite generalized energy
Recommended article: Q3017121
Recommended article: Q3594059
description: scientific article; zbMATH DE number 6495286