Existence and nonexistence of solution for a class of quasilinear Schrödinger equations with critical growth
From MaRDI portal
Publication:2043332
DOI10.1007/s10440-021-00412-7zbMath1472.35114OpenAlexW3163430480MaRDI QIDQ2043332
Diogo de S. Germano, Uberlandio B. Severo
Publication date: 30 July 2021
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-021-00412-7
Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)
Related Items
Cites Work
- Unnamed Item
- Soliton solutions for a quasilinear Schrödinger equation with critical exponent
- Positive soliton solutions for generalized quasilinear Schrödinger equations with critical growth
- Generalized quasilinear asymptotically periodic Schrödinger equations with critical growth
- Positive ground state solutions for a quasilinear elliptic equation with critical exponent
- Uniqueness of the ground state solutions of quasilinear Schrödinger equations
- Critical exponents and solitary wave solutions for generalized quasilinear Schrödinger equations
- On instability of excited states of the nonlinear Schrödinger equation
- Quasilinear Schrödinger equations involving concave and convex nonlinearities
- Solitary waves for quasilinear Schrödinger equations
- A perturbation result on positive entire solutions of a semilinear elliptic equation
- Solutions for a quasilinear Schrödinger equation: a dual approach.
- Four positive solutions for the semilinear elliptic equation: \(-\Delta u+u=a(x) u^p +f(x)\) in \(\mathbb{R}^N\)
- On the existence of soliton solutions to quasilinear Schrödinger equations
- Multiplicity of solutions for singular quasilinear Schrödinger equations with critical exponents
- Ground state solutions for generalized quasilinear Schrödinger equations without \((AR)\) condition
- Existence of nontrivial solutions for generalized quasilinear Schrödinger equations with critical or supercritical growths
- Soliton solutions for quasilinear Schrödinger equations. II.
- Soliton solutions for generalized quasilinear Schrödinger equations
- Existence of positive solutions for a quasilinear Schrödinger equation
- On a class of quasilinear Schrödinger equations with superlinear or asymptotically linear terms
- Existence and multiplicity of solutions for a class of generalized quasilinear Schrödinger equations
- Infinitely many solutions for generalized quasilinear Schrödinger equations with sign-changing potential
- Elliptic problems with lack of compactness via a new fixed point theorem
- Existence of solution for a generalized quasilinear elliptic problem
- Existence, multiplicity, and concentration of solutions for generalized quasilinear Schrödinger equations with critical growth
- Evolution theorem for a class of perturbed envelope soliton solutions
- Soliton solutions for quasilinear Schrödinger equations, I
- Multiple positive solutions of nonhomogeneous semilinear elliptic equations in ℝN
- Feynman Integrals and the Schrödinger Equation
- Generalized quasilinear equations with sign-changing unbounded potential
- Existence of positive solutions for a class of nonhomogeneous elliptic equations in \({\mathbb R}^N\)
