Global multiplicity of solutions for a quasilinear elliptic equation with concave and convex nonlinearities
From MaRDI portal
Publication:2061736
zbMath1480.35209MaRDI QIDQ2061736
Siyu Chen, Jiazheng Zhou, Carlos Alberto Santos, Min-Bo Yang
Publication date: 21 December 2021
Published in: Advances in Differential Equations (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.ade/ade026-0910-425
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)
Cites Work
- Unnamed Item
- Unnamed Item
- Multiplicity of solutions for a Dirichlet problem with a singular and a supercritical nonlinearities.
- Existence of semiclassical states for a quasilinear Schrödinger equation with critical exponent in \(\mathbb{R}^N\)
- An exact estimate result for a class of singular equations with critical exponents
- A weighted eigenvalue problem for the \(p\)-Laplacian plus a potential
- Brezis-Nirenberg type theorems and multiplicity of positive solutions for a singular elliptic problem
- Multiple solutions for elliptic problem in \(\mathbb R^N\) with critical Sobolev exponent and weight function
- On the first eigenvalue of some quasilinear elliptic equations
- On nonhomogeneous elliptic equations involving critical Sobolev exponent
- On semilinear elliptic equations with indefinite nonlinearities
- Combined effects of concave and convex nonlinearities in some elliptic problems
- Elliptic variational problems in \(\mathbb{R}^N\) with critical growth
- On the existence of soliton solutions to quasilinear Schrödinger equations
- Multiplicity results for elliptic problems with super-critical concave and convex nonlinearties
- Quasilinear elliptic equations with critical growth via perturbation method
- On uniqueness of positive solutions for a class of semilinear equations.
- Soliton solutions for quasilinear Schrödinger equations. II.
- Multiplicity and asymptotic behavior of positive solutions for a singular semilinear elliptic problem.
- Local superlinearity and sublinearity for indefinite semilinear elliptic problems.
- On semilinear elliptic equations involving concave--convex nonlinearities and sign-changing weight function
- Multiple solutions for quasilinear Schrödinger equations with a parameter
- Multiplicity results for a family of semilinear elliptic problems under local superlinearity and sublinearity
- On a singular nonlinear dirichlet problem
- On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Remarks on sublinear elliptic equations
- A Picone's identity for the p-Laplacian and applications
- Existence and multiplicity results for elliptic problems with critical growth and discontinuous nonlinearities
- Exact multiplicity for semilinear elliptic Dirichlet problems involving concave and convex nonlinearities
- Soliton solutions for quasilinear Schrödinger equations, I
- Quasilinear elliptic equations via perturbation method
- Combined effects of singular and superlinear nonlinearities in some singular boundary value problems.
