A global bifurcation result for a class of semipositone elliptic systems

DOI10.1016/j.jmaa.2017.04.001zbMath1375.35102OpenAlexW2605125467MaRDI QIDQ2396866

Petr Girg, Maya Chhetri

Publication date: 26 May 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.04.001

zbMATH Keywords

positive solutionsbifurcationsecond order elliptic systemssemipositone nonlinearities

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Second-order elliptic systems (35J47) Positive solutions to PDEs (35B09)

Cites Work

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• On the solvability of asymptotically linear systems at resonance
• Global bifurcation of positive solutions for a class of superlinear elliptic systems
• On a nonlinear elliptic system with symmetric coupling
• Curves of equiharmonic solutions and solvability of elliptic systems.
• Asymptotically linear systems near and at resonance
• Existence and nonexistence of positive solutions for a class of superlinear semipositone systems
• Positive solutions of asymptotically linear elliptic eigenvalue problems
• Positive solutions for some semi-positone problems via bifurcation theory
• Bifurcation of solutions of elliptic problems: local and global behaviour
• Inequalities for second-order elliptic equations with applications to unbounded domains. I
• Infinite semipositone problems with asymptotically linear growth forcing terms.
• Singular elliptic systems with asymptotically linear nonlinearities.
• Some global results for nonlinear eigenvalue problems
• BIFURCATION THEORY AND RELATED PROBLEMS: ANTI-MAXIMUM PRINCIPLE AND RESONANCE1*
• Nonlinear perturbations of linear elliptic systems at resonance
• ASYMPTOTICALLY LINEAR ELLIPTIC SYSTEMS WITH PARAMETERS
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Nonzero solutions of a nonlinear elliptic system at resonance
• On the Existence of Positive Solutions of Semilinear Elliptic Equations
• POSITIVE SOLUTIONS FOR ASYMPTOTICALLY LINEAR ELLIPTIC SYSTEMS
• Nonlinear eigenvalue problems with the parameter near resonance

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