Multiple positive solutions for a Hamiltonian system with an indefinite data function

DOI10.1080/17476933.2011.609929zbMath1271.35018OpenAlexW1523575531MaRDI QIDQ5300214

Brahim Khaldi, Nasreddine Megrez

Publication date: 26 June 2013

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2011.609929

zbMATH Keywords

multiplicity of solutionsstrongly indefinite functionalsHamiltonian systemsub-supersolution methodlinking geometryLi-Willem theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for second-order elliptic equations (35J20) Second-order elliptic systems (35J47)

Cites Work

• Nontrivial solutions of Hardy-Hénon type elliptic systems
• Critical point theorems for indefinite functionals
• Applications of local linking to critical point theory
• Multiple positive solutions of strongly indefinite systems with critical Sobolev exponents and data that change sign
• Differential systems with strongly indefinite variational structure
• Elliptic systems with nonlinearities of arbitrary growth
• Positive solutions to semilinear problems with coefficient that changes sign
• On Superquadratic Elliptic Systems
• Positive solutions for non-homogeneous semilinear elliptic equations with data that changes sign