Existence and non-existence of positive solutions of the scalar field system in \(\mathbb{R}^ n\). I
From MaRDI portal
Publication:1913317
DOI10.1007/BF01254345zbMath0851.35034MaRDI QIDQ1913317
Publication date: 10 November 1996
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Related Items
Existence of positive solutions to an elliptic system with coupled nonlinearity† ⋮ Nonexistence of positive solutions of nonlinear elliptic systems with potentials vanishing at infinity ⋮ Liouville-type theorems for semilinear elliptic systems ⋮ Liouville theorems for radial solutions of semilinear elliptic equations ⋮ Non-existence of positive radial solutions for a class of quasilinear elliptic system ⋮ Liouville-type theorem for higher-order Hardy-Hénon system
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear scalar field equations. II: Existence of infinitely many solutions
- Uniqueness of non-negative solutions of semilinear equations in \({\mathbb{R}}^ n\)
- Critical point theorems for indefinite functionals
- Variational identities and applications to differential systems
- Existence and non-existence of positive solutions of nonlinear elliptic systems and the biharmonic equation
- Slow decay and the Harnack inequality for positive solutions of \(\Delta u+ u^ p =0\) in \(\mathbb{R}^ n\)
- Dual variational methods in critical point theory and applications
- Differential systems with strongly indefinite variational structure
- On Strongly Indefinite Functionals with Applications
- Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
- Nonexistence theorems for singular solutions of quasilinear partial differential equations
- A priori bounds for positive solutions of nonlinear elliptic equations
- Global and local behavior of positive solutions of nonlinear elliptic equations
- Variational and topological methods in nonlinear problems
- Positive splutions of semilinear elliptic systems
- On a class of superlinear elliptic problems
- A rellich type identity and applications
- FURTHER STUDIES OF EMDEN'S AND SIMILAR DIFFERENTIAL EQUATIONS
