Existence of normalized solutions for the Schrödinger equation
From MaRDI portal
Publication:6579795
DOI10.3934/cam.2023028zbMath1547.35213MaRDI QIDQ6579795
Publication date: 26 July 2024
Published in: Communications in Analysis and Mechanics (Search for Journal in Brave)
nonlinear Schrödinger equationapproximation methodexistence of normalized solutionsSobolev critical nonlinearities
NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) 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
- A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems
- Nonlinear Schrödinger equations and sharp interpolation estimates
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Best constant in Sobolev inequality
- Normalized solutions for nonlinear coupled fractional systems: low and high perturbations in the attractive case
- Existence of normalized ground states for the Sobolev critical Schrödinger equation with combined nonlinearities
- Infinitely many solutions for quasilinear Schrödinger equations with sign-changing nonlinearity without the aid of 4-superlinear at infinity
- Normalized solutions for a coupled fractional Schrödinger system in low dimensions
- Normalized solutions for Schrödinger equations with critical Sobolev exponent and mixed nonlinearities
- Multiple normalized solutions for a Sobolev critical Schrödinger equation
- Normalized ground states for the NLS equation with combined nonlinearities
- Normalized solutions to the fractional Schrödinger equations with combined nonlinearities
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Existence of solutions with prescribed norm for semilinear elliptic equations
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- The cauchy problem for the critical nonlinear Schrödinger equation in Hs
- Bifurcation for Dirichlet Problems Without Eigenvalues
- The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities
- Entropy solutions for elliptic Schrödinger type equations under Fourier boundary conditions
- Normalized solutions to the fractional Schrödinger equation with potential
Related Items (2)
Normalized solutions for Schrödinger equations with local superlinear nonlinearities ⋮ Normalized solutions for pseudo-relativistic Schrödinger equations
This page was built for publication: Existence of normalized solutions for the Schrödinger equation