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math.AP2025
Reverse Faber-Krahn inequality for planar doubly connected domains
T. V. Anoop, Vladimir Bobkov, Mrityunjoy Ghosh
We prove that among all doubly connected and elastically supported planar membranes with prescribed values of the area and the lengths of the inner and outer boundaries…
math.AP2025
Multiplicity of dead core solutions in indefinite elliptic problems
Vladimir Bobkov, Humberto Ramos Quoirin
We investigate nonnegative solutions of indefinite elliptic problems which enjoy the dead core phenomenon. Our model is the subhomogeneous problem $$ -Î_p u = (a^+(x) - μa^-(x))|…