Nodal structure of the solution of a cooperative elliptic system

DOI10.1007/978-3-319-19902-3_15zbMath1333.35057OpenAlexW2404096717MaRDI QIDQ5743924

Jacqueline Fleckinger-Pellé, Francois de Thelin, Jean Pierre Gossez

Publication date: 9 February 2016

Published in: Contributions to Nonlinear Elliptic Equations and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-19902-3_15

zbMATH Keywords

maximum principlefirst eigenvaluenodal domainantimaximum principlecooperative elliptic systemhigher eigenvalue

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

• Maximum and antimaximum principles near the second eigenvalue.
• Maximum and antimaximum principles: beyond the first eigenvalue.
• An anti-maximum principle for second order elliptic operators
• On maximum principles and existence of positive solutions for some cooperative elliptic systems
• Nodal domains for an elliptic problem with the spectral parameter near the 4-th eigenvalue.
• BIFURCATION THEORY AND RELATED PROBLEMS: ANTI-MAXIMUM PRINCIPLE AND RESONANCE1*
• A Maximum Principle for an Elliptic System and Applications to Semilinear Problems
• Nonexistence of Solutions and an Anti-Maximum Principle for Cooperative Systems with thep-Laplacian
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