A comparison principle for vector-valued minimzers of semilinear elliptic energy, with application to dead cores

DOI10.1512/iumj.2021.70.9435zbMath1480.35176arXiv2102.13072OpenAlexW3209331011MaRDI QIDQ5014745

Panayotis Smyrnelis

Publication date: 8 December 2021

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.13072

zbMATH Keywords

energy functionalminimizerscomparison principle

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Semilinear elliptic equations (35J61) Comparison principles in context of PDEs (35B51)

Cites Work

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• Density estimates for vector minimizers and applications
• The maximum principle
• BCAM, the Basque Center for Applied Mathematics
• Continua of local minimizers in a non-smooth model of phase transitions
• Elliptic systems of phase transition type
• A strong maximum principle for some quasilinear elliptic equations
• On the Existence of a Free Boundary for a Class of Reaction-Diffusion Systems
• Diffusion and reaction with monotone kinetics
• Variational problems with two phases and their free boundaries
• Uniform convergence of a singular perturbation problem
• Dead Cores and Bursts for Quasilinear Singular Elliptic Equations
• Monotonicity formulae for variational problems