Existence and concentration behavior of solutions for a class of quasilinear elliptic equations with critical growth
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Publication:2417217
DOI10.1515/anona-2016-0218zbMath1419.35076OpenAlexW2606341350MaRDI QIDQ2417217
Publication date: 12 June 2019
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/anona-2016-0218
\(p\)-LaplacianLjusternik-Schnirelman categoryconcentration behavior of solutionsquasilienear elliptic equation
Variational methods applied to PDEs (35A15) Schrödinger operator, Schrödinger equation (35J10) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items (9)
On the p-Laplacian Kirchhoff–Schrödinger equation with potentials vanishing or unbounded at infinity in R3 ⋮ Multiplicity of positive solutions for quasilinear elliptic equations involving critical nonlinearity ⋮ Explicit self-similar solutions for a class of zero mean curvature equation and minimal surface equation ⋮ Global existence of solution for Monge-Ampére equation with an external periodic force on 3-dimensional torus ⋮ Existence of solutions for critical (p,q)-Laplacian equations in ℝN ⋮ Existence and multiplicity of solutions for generalized quasilinear Schrödinger equations ⋮ A posteriori error estimates of two-grid weak Galerkin methods for semilinear elliptic differential equations ⋮ Multi-bump solutions for the quasilinear Choquard equation in \(\mathbb{R}^N\) ⋮ Soliton solutions for quasilinear Schrödinger equations involving convolution and critical Nonlinearities
Cites Work
- Unnamed Item
- Unnamed Item
- Existence of semiclassical states for a quasilinear Schrödinger equation with critical exponent in \(\mathbb{R}^N\)
- Multiple solutions for quasilinear elliptic equations with a finite potential well
- Bound states to critical quasilinear Schrödinger equations
- Existence and multiplicity of positive solutions to a \(p\)-Laplacian equation in \(\mathbb R^N\).
- Critical exponents and solitary wave solutions for generalized quasilinear Schrödinger equations
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Multiplicity of positive solutions for a class of quasilinear problems
- On a class of nonlinear Schrödinger equations
- Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology
- Multiplicity of positive solutions for some quasilinear elliptic equations in \(\mathbb{R}^N\) with critical Sobolev exponent
- Global existence of small solutions to a relativistic nonlinear Schrödinger equation
- Semiclassical states of nonlinear Schrödinger equations
- Multi-peak bound states for nonlinear Schrödinger equations
- Solutions for a quasilinear Schrödinger equation: a dual approach.
- On the existence of soliton solutions to quasilinear Schrödinger equations
- On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- Semi-classical states of nonlinear Schrödinger equations: a variational reduction method
- Soliton solutions for quasilinear Schrödinger equations. II.
- Minimax theorems
- Soliton solutions for a class of quasilinear Schrödinger equations with a parameter
- Soliton solutions for quasilinear Schrödinger equations: the critical exponential case
- Elliptic equations and systems with nonstandard growth conditions: existence, uniqueness and localization properties of solutions
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Solutions for Quasilinear Schrödinger Equations via the Nehari Method
- C1 + α local regularity of weak solutions of degenerate elliptic equations
- Multiple nodal bound states for a quasilinear Schrödinger equation
- Existence and concentration of positive solutions for quasilinear Schrödinger equations with critical growth
- Variable Exponent, Linear Growth Functionals in Image Restoration
- Quasilinear asymptotically periodic Schrödinger equations with critical growth
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