On a fourth-order quasilinear elliptic equation of concave-convex type
From MaRDI portal
Publication:839521
DOI10.1007/s00030-009-0024-yzbMath1179.35130OpenAlexW1995312638MaRDI QIDQ839521
Publication date: 2 September 2009
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00030-009-0024-y
Boundary value problems for higher-order elliptic equations (35J40) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)
Related Items (4)
Representation theorems for Sobolev spaces on intervals and multiplicity results for nonlinear ODEs ⋮ On a Hamiltonian elliptic system with concave and convex nonlinearities ⋮ Hamiltonian elliptic systems with critical polynomial-exponential growth ⋮ Ground states of elliptic problems over cones
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the existence of positive solutions for a nonhomogeneous elliptic system
- The concentration-compactness principle in the calculus of variations. The limit case. I
- On nonhomogeneous elliptic equations involving critical Sobolev exponent
- On the variational principle
- Existence and multiplicity of nontrivial solutions in semilinear critical problems of fourth order
- Minimax theorems
- Dual variational methods in critical point theory and applications
- Multiplicity of solutions for a fourth-order quasilinear nonhomogeneous equation
- Elliptic systems with nonlinearities of arbitrary growth
- A counterexample to the approximation problem in Banach spaces
- Bases and reflexivity of Banach spaces
- Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
- Elliptic Partial Differential Equations of Second Order
- On Superquadratic Elliptic Systems
- On an Elliptic Equation with Concave and Convex Nonlinearities
- Infinitely many solutions of a symmetric Dirichlet problem
This page was built for publication: On a fourth-order quasilinear elliptic equation of concave-convex type