A class of modified nonlinear fourth-order elliptic equations with unbounded potential
From MaRDI portal
Publication:4993748
DOI10.1080/17476933.2020.1751135zbMath1466.35121arXiv1906.08390OpenAlexW3016849761MaRDI QIDQ4993748
Publication date: 16 June 2021
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.08390
Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Higher-order elliptic equations (35J30) Quasilinear elliptic equations (35J62)
Related Items (1)
Cites Work
- Unnamed Item
- Existence and multiplicity of nontrivial solutions for a class of modified nonlinear fourth-order elliptic equations on \(\mathbb{R}^N\)
- Existence of semiclassical states for a quasilinear Schrödinger equation with critical exponent in \(\mathbb{R}^N\)
- Infinitely many solutions of quasilinear Schrödinger equation with sign-changing potential
- Infinitely many solutions for fourth-order elliptic equations
- Existence of solutions for a quasilinear Schrödinger equation with vanishing potentials
- Multiple nontrivial solutions for some fourth-order semilinear elliptic problems
- Existence of soliton solutions for a quasilinear Schrödinger equation involving critical exponent in \(\mathbb R^N\)
- An inverse function theorem in Frechet-spaces
- Global existence of small solutions to a relativistic nonlinear Schrödinger equation
- Solutions for a quasilinear Schrödinger equation: a dual approach.
- On some fourth-order semilinear elliptic problems in \(\mathbb R^N\)
- On the existence of soliton solutions to quasilinear Schrödinger equations
- Soliton solutions for quasilinear Schrödinger equations. II.
- Minimax theorems
- Multiple solutions for a quasilinear Schrödinger equation
- High energy solutions of modified quasilinear fourth-order elliptic equations with sign-changing potential
- Existence of nontrivial solutions for fourth-order asymptotically linear elliptic equations
- A quasi-linear Schrödinger equation with indefinite potential
- Ground states for a class of asymptotically linear fourth-order elliptic equations
- Evolution theorem for a class of perturbed envelope soliton solutions
- Positive and Nodal Solutions For a Nonlinear Schrödinger Equation with Indefinite Potential
- Existence of ground states for a modified nonlinear Schrödinger equation
- Nash moser methods for the solution of quasilinear schrödinger equations
- Scattering problem and asymptotics for a relativistic nonlinear Schrödinger equation
- Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
- Quasilinear asymptotically periodic Schrödinger equations with critical growth
This page was built for publication: A class of modified nonlinear fourth-order elliptic equations with unbounded potential