Multiplicity of positive solutions for quasilinear elliptic equations involving critical nonlinearity
From MaRDI portal
Publication:2173769
DOI10.1515/anona-2020-0058zbMath1436.35175OpenAlexW3008363931MaRDI QIDQ2173769
Publication date: 17 April 2020
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/anona-2020-0058
Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09)
Related Items (7)
Existence of solutions for critical (p,q)-Laplacian equations in ℝN ⋮ Existence and multiplicity results for a multiparameter quasilinear Schrödinger equation ⋮ Existence of least energy positive and nodal solutions for a quasilinear Schrödinger problem with potentials vanishing at infinity ⋮ Solution for nonvariational quasilinear elliptic systems via sub-supersolution technique and Galerkin method ⋮ Existence of multiple nontrivial solutions of the nonlinear Schrödinger-Korteweg-de Vries type system ⋮ On \(p\)-Laplace equations with singular nonlinearities and critical Sobolev exponent ⋮ Multiple positive solutions for an elliptic problem involving a critical Sobolev exponent
Cites Work
- An introductory course in Lebesgue spaces
- Remarks on nondegeneracy of ground states for quasilinear Schrödinger equations
- Existence of semiclassical states for a quasilinear Schrödinger equation with critical exponent in \(\mathbb{R}^N\)
- Bound states to critical quasilinear Schrödinger equations
- Positive soliton solutions for generalized quasilinear Schrödinger equations with critical growth
- Existence and concentration of ground state solutions for a subcubic quasilinear problem via Pohozaev manifold
- Concentrating soliton solutions for quasilinear Schrödinger equations involving critical Sobolev exponents
- Nonlinear scalar field equations. I: Existence of a ground state
- Soliton solutions for quasilinear Schrödinger equations with critical growth
- Existence of soliton solutions for a quasilinear Schrödinger equation involving critical exponent in \(\mathbb R^N\)
- Asymptotic uniqueness of ground states for a class of quasilinear Schrödinger equations with \(H^{1}\)-supercritical exponent
- Existence and concentration of solitary waves for a class of quasilinear Schrödinger equations
- Existence and concentration of positive solutions for a quasilinear equation in \(\mathbb R^N\)
- A selection-migration model in population genetics
- Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
- Lower-order perturbations of critical growth nonlinearities in semilinear elliptic equations
- Solutions for a quasilinear Schrödinger equation: a dual approach.
- On the existence of soliton solutions to quasilinear Schrödinger equations
- Multiple solutions for critical quasilinear elliptic equations
- Positive solutions for a class of singular quasilinear Schrödinger equations with critical Sobolev exponent
- Quasilinear elliptic equations with critical growth via perturbation method
- Soliton solutions for quasilinear Schrödinger equations. II.
- Multiplicity of positive solutions to a \(p\)-Laplacian equation involving critical nonlinearity.
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Minimax theorems
- Multiple solutions for a quasilinear Schrödinger equation
- Soliton solutions for generalized quasilinear Schrödinger equations
- Ground states for quasilinear Schrödinger equations with critical growth
- Soliton solutions for a class of quasilinear Schrödinger equations with a parameter
- Existence of multi-bump solutions for a class of quasilinear Schrödinger equations in \(\mathbb{R}^{N}\) involving critical growth
- Positive solutions for quasilinear Schrödinger equations in \(\mathbb{R}^N\)
- Soliton solutions for quasilinear Schrödinger equations: the critical exponential case
- Existence of a bound state solution for quasilinear Schrödinger equations
- Existence and concentration behavior of solutions for a class of quasilinear elliptic equations with critical growth
- Existence and concentration behavior of sign-changing solutions for quasilinear Schrödinger equations
- Standing waves for nonlinear Schrödinger equations with a general nonlinearity
- Positive solution for a quasilinear elliptic equation involving critical or supercritical exponent
- Uniqueness of ground states for a class of quasi-linear elliptic equations
- Existence of a Ground State Solution for a Quasilinear Schrödinger Equation
- Existence, multiplicity, and concentration of solutions for generalized quasilinear Schrödinger equations with critical growth
- Solutions for Quasilinear Schrödinger Equations via the Nehari Method
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Evolution theorem for a class of perturbed envelope soliton solutions
- Symmetric And Nonsymmetric Solutions For a Class of Quasilinear Schrödinger Equations
- Existence of ground states for a modified nonlinear Schrödinger equation
- Soliton solutions for quasilinear Schrödinger equations, I
- A remark on least energy solutions in $\mathbf {R}^N$
- Nodal soliton solutions for quasilinear Schrödinger equations with critical exponent
- Existence and concentration of positive solutions for quasilinear Schrödinger equations with critical growth
- Quasilinear asymptotically periodic Schrödinger equations with critical growth
This page was built for publication: Multiplicity of positive solutions for quasilinear elliptic equations involving critical nonlinearity
