Bifurcations of nontrivial solutions of a cubic Helmholtz system
From MaRDI portal
Publication:2281668
DOI10.1515/ANONA-2020-0040zbMath1435.35134arXiv1811.00789OpenAlexW2981572309MaRDI QIDQ2281668
Rainer Mandel, Dominic Scheider
Publication date: 3 January 2020
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.00789
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Bifurcations in context of PDEs (35B32)
Related Items (1)
Cites Work
- Unnamed Item
- Branch continuation inside the essential spectrum for the nonlinear Schrödinger equation
- Bifurcation theory. An introduction with applications to partial differential equations
- Oscillating solutions for nonlinear Helmholtz equations
- Bound states for a coupled Schrödinger system
- Non trivial \(L^q\) solutions to the Ginzburg-Landau equation
- Dual variational methods for a nonlinear Helmholtz system
- Dual variational methods and nonvanishing for the nonlinear Helmholtz equation
- A Liouville theorem, a-priori bounds, and bifurcating branches of positive solutions for a nonlinear elliptic system
- Real solutions to the nonlinear Helmholtz equation with local nonlinearity
- Some global results for nonlinear eigenvalue problems
- Bifurcation from simple eigenvalues
This page was built for publication: Bifurcations of nontrivial solutions of a cubic Helmholtz system