Infinitely many solutions for nonlinear elliptic equations with oscillatory potentials
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Publication:6615823
DOI10.1016/j.jde.2024.08.001MaRDI QIDQ6615823
Publication date: 8 October 2024
Published in: Journal of Differential Equations (Search for Journal in Brave)
Lyapunov-Schmidt reductionsemilinear elliptic equationoscillatory potentialexistence of infinitely many positive solutions
Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61)
Cites Work
- Unnamed Item
- Mathematical aspects of pattern formation in biological systems
- Infinitely many positive solutions for nonlinear equations with non-symmetric potentials
- Infinitely many solutions for nonlinear Schrödinger equations with slow decaying of potential
- Nonlinear scalar field equations. II: Existence of infinitely many solutions
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- On a min-max procedure for the existence of a positive solution for certain scalar field equations in \({\mathbb{R}}^ N\)
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- 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 \(R^ n\)
- Symmetry and related properties via the maximum principle
- Infinitely many radial solutions of a semilinear elliptic problem on \(\mathbb{R}^ N\)
- On the existence of a positive solution of semilinear elliptic equations in unbounded domains
- Infinitely many bound states for some nonlinear scalar field equations
- Infinitely many positive solutions for the nonlinear Schrödinger equations in \(\mathbb R^N\)
- An optimal bound on the number of interior spike solutions for the Lin-Ni-Takagi problem
- Uniqueness of the ground state solution for \(\Delta u - u + u^3=0\) and a variational characterization of other solutions
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