Generalized linking-type theorem with applications to strongly indefinite problems with sign-changing nonlinearities
DOI10.1007/s00526-022-02297-2zbMath1496.35353arXiv2109.12310OpenAlexW3202992756WikidataQ113904933 ScholiaQ113904933MaRDI QIDQ2159514
Bartosz Bieganowski, Federico Bernini
Publication date: 1 August 2022
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.12310
PDEs in connection with optics and electromagnetic theory (35Q60) Variational methods applied to PDEs (35A15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Electromagnetic theory (general) (78A25) Variational methods for second-order elliptic equations (35J20)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An infinite-dimensional linking theorem without upper semi-continuous assumption and its applications
- Ground states of time-harmonic semilinear Maxwell equations in \(\mathbb R^3\) with vanishing permittivity
- Ground states of a nonlinear curl-curl problem in cylindrically symmetric media
- Nonlinear time-harmonic Maxwell equations in domains
- Photonic crystals. Mathematical analysis and numerical approximation.
- Cylindrically symmetric ground state solutions for curl-curl equations with critical exponent
- Optical solitons due to quadratic nonlinearities: From basic physics to futuristic applications
- A Sobolev-Hardy inequality with applications to a nonlinear elliptic equation arising in astrophysics
- Periodic nonlinear Schrödinger equation with application to photonic crystals
- Ground state solutions for some indefinite variational problems
- Self-trapping of an electromagnetic field and bifurcation from the essential spectrum
- Existence of solutions for semilinear elliptic equations with indefinite linear part
- Guidance properties of nonlinear planar waveguides
- Solutions in spectral gaps for a nonlinear equation of Schrödinger type
- Minimax theorems
- Generalized linking theorem with an application to a semilinear Schrödinger equation
- Ground and bound state solutions of semilinear time-harmonic Maxwell equations in a bounded domain
- Dual variational methods in critical point theory and applications
- Multiple solutions to a nonlinear curl-curl problem in \({\mathbb{R}}^3\)
- Nonlinear time-harmonic Maxwell equations in an anisotropic bounded medium
- Nonlinear Schrödinger equations with sum of periodic and vanishing potentials and sign-changing nonlinearities
- A nonlinear elliptic equation with singular potential and applications to nonlinear field equations
- Ground states of a system of nonlinear Schrödinger equations with periodic potentials
- On a Class of Nonlinear Second-Order Differential Equations
- Nontrivial solution of a semilinear schrödinger equation
- On the Solution of Time-Harmonic Scattering Problems for Maxwell’s Equations
- Solutions to a nonlinear Maxwell equation with two competing nonlinearities in $\mathbb{R}^3$
- Bound states for the Schroedinger equation with mixed-type nonlinearities
- Nonradial solutions of nonlinear scalar field equations
This page was built for publication: Generalized linking-type theorem with applications to strongly indefinite problems with sign-changing nonlinearities