Normalized multi-peak solutions to nonlinear elliptic problems

DOI10.1007/s12220-023-01514-4OpenAlexW4390773615MaRDI QIDQ6141084

Publication date: 22 January 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-023-01514-4

zbMATH Keywords

semilinear equation with Laplacian existence of normalized solutions

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

Unnamed Item
Unnamed Item
Stable solitary waves with prescribed \(L^2\)-mass for the cubic Schrödinger system with trapping potentials
Energy estimates and symmetry breaking in attractive Bose-Einstein condensates with ring-shaped potentials
Normalized solutions for a system of coupled cubic Schrödinger equations on \(\mathbb R^3\)
Asymptotic properties of standing waves for mass subcritical nonlinear Schrödinger equations
Normalized concentrating solutions to nonlinear elliptic problems
Uniqueness of positive radial solutions of \(\Delta u+f(u)=0\) in \({\mathbb{R}}^ n\)
Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
On the effect of domain topology in a singular perturbation problem
Conditions for two-peaked solutions of singularly perturbed elliptic equations
Multi-peak solutions for some singular perturbation problems
A singularly perturbed elliptic problem in bounded domains with nontrivial topology
On the existence and profile of multi-peaked solutions to singularly perturbed semilinear Dirichlet problems
Effect of the domain geometry on the existence of multipeak solutions for an elliptic problem
Existence of multipeak solutions for a semilinear Neumann problem via nonsmooth critical point theory
Normalized bound states for the nonlinear Schrödinger equation in bounded domains
Multiple interior peak solutions for some singularly perturbed Neumann problems.
On the construction of single-peaked solutions to a singularly perturbed semilinear Dirichlet problem
Mathematical theory and numerical methods for Bose-Einstein condensation
Excited states of Bose-Einstein condensates with degenerate attractive interactions
Normalized solutions for a coupled Schrödinger system
Existence and asymptotic behavior of normalized ground states for Sobolev critical Schrödinger systems
Excited states for two-component Bose-Einstein condensates in dimension two
Curve-like concentration for Bose-Einstein condensates
Existence and local uniqueness of normalized solutions for two-component Bose-Einstein condensates
Existence and orbital stability of the ground states with prescribed mass for the \(L^2\)-critical and supercritical NLS on bounded domains
Concentration behavior of standing waves for almost mass critical nonlinear Schrödinger equations
On the mass concentration for Bose-Einstein condensates with attractive interactions
On the Symmetry of the Ground States of Nonlinear Schrödinger Equation with Potential
Radial symmetry of positive solutions of nonlinear elliptic equations in Rⁿ
On the number of interior peak solutions for a singularly perturbed Neumann problem
On the interior spike solutions for some singular perturbation problems
On the Modular Representation Theory of the Two-Dimensional Special Linear Group Over an Algebraically Closed Field
On Multiple Mixed Interior and Boundary Peak Solutions for Some Singularly Perturbed Neumann Problems
Multiple positive normalized solutions for nonlinear Schrödinger systems
Normalized solutions for nonlinear Schrödinger systems
Normalized solutions for nonlinear Schrödinger systems on bounded domains
Properties of ground states of attractive Gross–Pitaevskii equations with multi-well potentials
On the location and profile of spike‐layer solutions to singularly perturbed semilinear dirichlet problems
On the role of distance function in some singular perturbation problems
Nodal solutions for some singularly perturbed Dirichlet problems
On the effect of critical points of distance function in superlinear elliptic problems

This page was built for publication: Normalized multi-peak solutions to nonlinear elliptic problems