Existence and multiplicity for quasi-critical fourth order quasilinear problems with generalized vanishing potentials
DOI10.1007/BF03377391zbMath1386.35075OpenAlexW2575051665MaRDI QIDQ1691829
Publication date: 25 January 2018
Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf03377391
vanishing potentialsvariational toolscompact imbeddingsfourth order quasilinear elliptic equationsnonlinear elliptic systems of Lane-Emden type
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods for elliptic systems (35J50) Variational methods for higher-order elliptic equations (35J35) Quasilinear elliptic equations (35J62) Boundary value problems for higher-order elliptic systems (35J58)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some results on weighted subquadratic Lane-Emden elliptic systems in unbounded domains
- Solution to biharmonic equation with vanishing potential
- Nonlinear scalar field equations. I: Existence of a ground state
- The concentration-compactness principle in the calculus of variations. The limit case. I
- Variational identities and applications to differential systems
- On some fourth-order semilinear elliptic problems in \(\mathbb R^N\)
- Weighted elliptic systems of Lane-Emden type in unbounded domains
- Existence and multiplicity of nontrivial solutions in semilinear critical problems of fourth order
- Existence and multiplicity results for some elliptic systems in unbounded cylinders
- Existence and uniqueness of positive solutions to certain differential systems
- Existence and multiplicity results for some Lane-Emden elliptic systems: subquadratic case
- Dual variational methods in critical point theory and applications
- Radial solutions of inhomogeneous fourth order elliptic equations and weighted Sobolev embeddings
- Multiplicity of solutions for a fourth-order quasilinear nonhomogeneous equation
- Elliptic systems with nonlinearities of arbitrary growth
- Elliptic systems in unbounded domains
- A rellich type identity and applications
- On Superquadratic Elliptic Systems
- Positive solutions of a fourth-order semilinear problem involving critical growth
- Non-trivial solutions for a semilinear biharmonic problem with critical growth and potential vanishing at infinity
- Ground state and non-ground state solutions of some strongly coupled elliptic systems
This page was built for publication: Existence and multiplicity for quasi-critical fourth order quasilinear problems with generalized vanishing potentials