Bifurcation in skew-symmetric reaction-diffusion systems with unilateral terms

DOI10.1016/J.JMAA.2021.125223zbMath1467.35038OpenAlexW3141475939MaRDI QIDQ2033245

Josef Navrátil

Publication date: 14 June 2021

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.2021.125223

zbMATH Keywords

Rayleigh quotientjumping nonlinearitieslocal bifurcationpositively homogeneous operatorsskew-symmetric systems

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Variational methods for elliptic systems (35J50) Bifurcations in context of PDEs (35B32) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

• A variational approach to bifurcation points of a reaction-diffusion system with obstacles and Neumann boundary conditions.
• Bifurcation for a reaction-diffusion system with unilateral and Neumann boundary conditions
• Global bifurcation for a reaction-diffusion system with inclusions
• Mini-maximizers for reaction-diffusion systems with skew-gradient structure
• Some Crandall-Rabinowitz type results and applications to reaction-diffusion systems
• Eigenvalues and bifurcation for problems with positively homogeneous operators and reaction-diffusion systems with unilateral terms
• Spatial patterns for reaction-diffusion systems with conditions described by inclusions
• Degree and global bifurcation for elliptic equations with multivalued unilateral conditions
• Global Structure of Bifurcating Solutions of Some Reaction-Diffusion Systems
• Reaction-diffusion systems: stabilizing effect of conditions described by quasivariational inequalities
• Stability Criteria for Reaction-Diffusion Systems with Skew-Gradient Structure
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