Soliton solutions for a class of Schrödinger equations with a positive quasilinear term and critical growth
DOI10.1017/S0013091522000074zbMath1490.35409OpenAlexW4213354197MaRDI QIDQ5065446
Elisandra Gloss, Uberlandio B. Severo, João Marcos Bezerra do Ó
Publication date: 21 March 2022
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0013091522000074
Variational methods involving nonlinear operators (47J30) Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Statistical mechanics of plasmas (82D10) Soliton solutions (35C08)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Equation with positive coefficient in the quasilinear term and vanishing potential
- Elliptic equations and systems with critical Trudinger-Moser nonlinearities
- Soliton solutions for quasilinear Schrödinger equations with critical growth
- Multiple solutions for quasilinear Schrödinger equations involving critical exponent
- Solitary waves for a class of quasilinear Schrödinger equations in dimension two
- On a class of periodic quasilinear Schrödinger equations involving critical growth in \(\mathbb R^2\)
- Introduction à la théorie des points critiques et applications aux problèmes elliptiques
- Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
- Solutions for a quasilinear Schrödinger equation: a dual approach.
- On the existence of soliton solutions to quasilinear Schrödinger equations
- On a nonhomogeneous and singular quasilinear equation involving critical growth in \(\mathbb R^2\)
- \(N\)-Laplacian equations in \(\mathbb{R}^N\) with critical growth
- Soliton solutions for quasilinear Schrödinger equations. II.
- Positive solutions to a class of quasilinear elliptic equations on \(\mathbb{R}\)
- Minimax theorems
- A class of quasilinear Schrödinger equations with critical or supercritical exponents
- Soliton solutions for a class of quasilinear Schrödinger equations with a parameter
- On a class of quasilinear Schrödinger equations with superlinear or asymptotically linear terms
- Soliton solutions for quasilinear Schrödinger equations: the critical exponential case
- Existence of positive solutions for supercritical quasilinear Schrödinger elliptic equations
- On the existence of signed and sign-changing solutions for a class of superlinear Schrödinger equations
- Asymptotic Behavior of Positive Solutions for a Class of Quasilinear Elliptic Equations in <b><i>R</i></b><sup>2</sup>
- Solutions for Quasilinear Schrödinger Equations via the Nehari Method
- Existence of ground states for a modified nonlinear Schrödinger equation
- Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R
- Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
- Soliton solutions for quasilinear Schrödinger equations, I
- A remark on least energy solutions in $\mathbf {R}^N$
- Quasilinear elliptic equations via perturbation method
- Soliton solutions for quasilinear Schrödinger equations
This page was built for publication: Soliton solutions for a class of Schrödinger equations with a positive quasilinear term and critical growth
