Strongly indefinite systems with critical Sobolev exponents and weights.

DOI10.1016/j.aml.2003.10.005zbMath1122.35327OpenAlexW2008959960MaRDI QIDQ1767146

Pigong Han

Publication date: 7 March 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2003.10.005

zbMATH Keywords

Hamiltonian systemscritical point(P.S.) conditiondual variational functional method

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for elliptic systems (35J50)

Related Items (5)

Multiple positive solutions for a critical quasilinear elliptic system ⋮ On a singular class of Hamiltonian systems in dimension two ⋮ Existence of three nontrivial solutions for elliptic systems with critical exponents and weights ⋮ Multiple positive solutions for a critical elliptic system with concave and convex nonlinearities ⋮ Unnamed Item

Cites Work

• Critical point theorems for indefinite functionals
• Symmetry properties in systems of semilinear elliptic equations
• On maximum principles and existence of positive solutions for some cooperative elliptic systems
• On a semilinear elliptic system
• Differential systems with strongly indefinite variational structure
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• A rellich type identity and applications
• On Superquadratic Elliptic Systems
• Strongly indefinite systems with critical Sobolev exponents
• Asymptotic behaviour of ground states

This page was built for publication: Strongly indefinite systems with critical Sobolev exponents and weights.