Quasilinear equations using a linking structure with critical nonlinearities
DOI10.1007/s10473-022-0310-xOpenAlexW4224300089MaRDI QIDQ2157865
Jefferson S. Silva, Edcarlos D. Da Silva
Publication date: 22 July 2022
Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10473-022-0310-x
linking theoremsquasilinear Schrödinger equationscritical nonlinearitiessuperlinear elliptic equationsbounded potentials
Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Positive soliton solutions for generalized quasilinear Schrödinger equations with critical growth
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Soliton solutions for quasilinear Schrödinger equations with critical growth
- Quasilinear asymptotically periodic Schrödinger equations with subcritical growth
- Quasilinear Schrödinger equations involving concave and convex nonlinearities
- Solitary waves for quasilinear Schrödinger equations
- On a class of nonlinear Schrödinger equations
- Global existence of small solutions to a relativistic nonlinear Schrödinger equation
- Solutions for a quasilinear Schrödinger equation: a dual approach.
- On the existence of soliton solutions to quasilinear Schrödinger equations
- Standing waves for quasilinear Schrödinger equations with indefinite potentials
- Soliton solutions for quasilinear Schrödinger equations. II.
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Minimax theorems
- Ground states for quasilinear Schrödinger equations with critical growth
- Ground state solutions for quasilinear stationary Schrödinger equations with critical growth
- Multiplicity of solutions for critical quasilinear Schrödinger equations using a linking structure
- Soliton solutions for a class of quasilinear Schrödinger equations with a parameter
- Quasilinear elliptic problems under asymptotically linear conditions at infinity and at the origin
- Quasilinear Schrödinger Equations with Asymptotically Linear Nonlinearities
- Existence, multiplicity, and concentration of solutions for generalized quasilinear Schrödinger equations with critical growth
- Solutions for Quasilinear Schrödinger Equations via the Nehari Method
- Linking theorems and applications to semilinear elliptic problems at resonance
- A Variation of the Mountain Pass Lemma and Applications
- Soliton solutions for quasilinear Schrödinger equations, I
- Existence and multiplicity results for some superlinear elliptic problems on RN
- Quasilinear Schrödinger equations with nonlinearities interacting with high eigenvalues
- Quasilinear asymptotically periodic Schrödinger equations with critical growth
