On Existence of Multiple Normalized Solutions to a Class of Elliptic Problems in Whole \(\mathbb{R}^N\) via Lusternik-Schnirelmann Category
From MaRDI portal
Publication:6042078
DOI10.1137/22m1470694zbMath1514.35218arXiv2305.06959MaRDI QIDQ6042078
Claudianor Oliveira Alves, Nguyen Van Thin
Publication date: 16 May 2023
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2305.06959
minimizationLusternik-Schnirelmann categorysemilinear equation with Laplacianexistence of normalized solutions
Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Existence and multiplicity of positive solutions to a \(p\)-Laplacian equation in \(\mathbb R^N\).
- Ground state solutions for some indefinite variational problems
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- Multiple semiclassical standing waves for a class of nonlinear Schrödinger equations
- Multiple positive solutions for a nonlinear Schrödinger equation
- Elliptic partial differential equations of second order
- Multiple normalized solutions for a competing system of Schrödinger equations
- Minimax theorems
- Normalized solutions of nonlinear Schrödinger equations
- A mass supercritical problem revisited
- Normalized ground states of the nonlinear Schrödinger equation with at least mass critical growth
- Normalized solutions for a Schrödinger equation with critical growth in \(\mathbb{R}^N\)
- Normalized solutions for the Schrödinger equations with \(L^2\)-subcritical growth and different types of potentials
- On existence of multiple normalized solutions to a class of elliptic problems in whole \(\mathbb{R}^N\)
- Normalized solution to the Schrödinger equation with potential and general nonlinear term: mass super-critical case
- Multiple normalized solutions for a Sobolev critical Schrödinger equation
- 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
- Stable standing waves of nonlinear Schrödinger equations with a general nonlinear term
- Existence of solutions with prescribed norm for semilinear elliptic equations
- 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
