On existence of multiple normalized solutions to a class of elliptic problems in whole \(\mathbb{R}^N\)
DOI10.1007/s00033-022-01741-9zbMath1490.35176OpenAlexW4223949222MaRDI QIDQ2134915
Publication date: 4 May 2022
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-022-01741-9
Variational methods applied to PDEs (35A15) 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)
Related Items (8)
Cites Work
- Unnamed Item
- Normalized solutions for a system of coupled cubic Schrödinger equations on \(\mathbb R^3\)
- Existence of multi-peak solutions for a class of quasilinear problems in \(\mathbb R^N\)
- Existence and multiplicity of positive solutions to a \(p\)-Laplacian equation in \(\mathbb R^N\).
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- On a class of nonlinear Schrödinger equations
- Semiclassical states of nonlinear Schrödinger equations
- Elliptic partial differential equations of second order
- Multiple normalized solutions for a competing system of Schrödinger equations
- On concentration of positive bound states of nonlinear Schrödinger equations
- On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Minimax theorems
- Multiplicity of positive and nodal solutions for nonlinear elliptic problems in \(\mathbb{R}^ N\)
- Normalized solutions of nonlinear Schrödinger equations
- The dynamics of the 3D radial NLS with the combined terms
- A mass supercritical problem revisited
- Normalized ground states of the nonlinear Schrödinger equation with at least mass critical growth
- Least energy solutions to a cooperative system of Schrödinger equations with prescribed \(L^2\)-bounds: at least \(L^2\)-critical growth
- Normalized solutions for a Schrödinger equation with critical growth in \(\mathbb{R}^N\)
- A note on deformation argument for \(L^2\) normalized solutions of nonlinear Schrödinger equations and systems
- Normalized ground states for the NLS equation with combined nonlinearities: the Sobolev critical case
- Normalized ground states for the NLS equation with combined nonlinearities
- Multiple normalized solutions for a Sobolev critical Schrödinger-Poisson-Slater equation
- Stable standing waves of nonlinear Schrödinger equations with potentials and general nonlinearities
- Nonlinear scalar field equations with \(L^2\) constraint: mountain pass and symmetric mountain pass approaches
- On the normalized ground states of second order PDE's with mixed power non-linearities
- A new rearrangement inequality and its application for \(L^2\)-constraint minimizing problems
- Global well-posedness and scattering for nonlinear Schrödinger equations with combined nonlinearities in the radial case
- Existence and instability of standing waves with prescribed norm for a class of Schrödinger-Poisson equations
- Existence of solutions with prescribed norm for semilinear elliptic equations
- Multiplicity of Positive Solutions For a Quasilinear Problem in IRN Via Penalization Method
- Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)a
- Multiple positive normalized solutions for nonlinear Schrödinger systems
- Normalized solutions for nonlinear Schrödinger systems on bounded domains
- Bifurcation for Dirichlet Problems Without Eigenvalues
- Existence of multi-bumb solutions for nonlinear schrödinger equations via variational method
- Normalized solutions of mass supercritical Schrödinger equations with potential
- Stationary Waves with Prescribed $L^2$-Norm for the Planar Schrödinger--Poisson System
- Nonradial normalized solutions for nonlinear scalar field equations
- The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities
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