Least energy solutions for an elliptic problem involving sublinear term and peaking phenomenon

DOI10.3934/cpaa.2015.14.2411zbMath1326.35108OpenAlexW2524305157MaRDI QIDQ746509

Publication date: 16 October 2015

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2015.14.2411

zbMATH Keywords

singular perturbation semilinear elliptic equation sublinear least energy solution

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)

Cites Work

Unnamed Item
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Multiple solutions with compact support for a semilinear elliptic problem with critical growth
Concentration for an elliptic equation with singular nonlinearity
Nonlinear scalar field equations. I: Existence of a ground state
Perturbation methods and semilinear elliptic problems on $\mathbb R^n$
Singular perturbed problems in the zero mass case: asymptotic behavior of spikes
Radial solutions of an elliptic equation with singular nonlinearity
Uniqueness of non-negative solutions of semilinear equations in ${\mathbb{R}}^ n$
Symmetry and related properties via the maximum principle
On a class of nonlinear Schrödinger equations
On a blow-up set for the quasilinear heat equation $u_ t=(u^ \sigma u_ x)_ x + u^{\sigma+1}$
Asymptotic shape and location of small cores in elliptic free-boundary problems
Symmetry results for reaction-diffusion equations
Locating the peaks of least-energy solutions to a semilinear Neumann problem
Uniqueness of positive solutions of $\Delta u+f(u)=0$ in $\mathbb{R}^N$, $N\geqq 3$
Multi-peak solutions for some singular perturbation problems
On the existence and profile of multi-peaked solutions to singularly perturbed semilinear Dirichlet problems
On the existence of positive entire solutions of a semilinear elliptic equation
Uniqueness and stability of regional blow-up in a porous-medium equation
On a semilinear elliptic problem in $\mathbb{R}^ N$ with a non-Lipschitzian nonlinearity
On the construction of single-peaked solutions to a singularly perturbed semilinear Dirichlet problem
Uniqueness of ground states for quasilinear elliptic equations
Singularly perturbed nonlinear Dirichlet problems with a general nonlinearity
On the shape of least‐energy solutions to a semilinear Neumann problem
Elliptic Partial Differential Equations of Second Order
The Effect of the Domain Geometry in Singular Perturbation Problems
Spike-layered solutions of singularly perturbed elliptic problems in a degenerate setting
A remark on least energy solutions in $\mathbf {R}^N$
Symmetry of the blow‐up set of a porous medium type equation
On the location and profile of spike‐layer solutions to singularly perturbed semilinear dirichlet problems
Symmetry in an elliptic problem and the blow—up set of
On the role of distance function in some singular perturbation problems

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