On the geometry of level sets of positive solutions of semilinear elliptic equations

DOI10.1216/RMJ-1988-18-2-277zbMath0706.35022MaRDI QIDQ919177

Chris Cosner, Klaus Schmitt

Publication date: 1988

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemtransformationspositive classical solutionslevel setsstarshapedCoxeter-groupslower a priori bounds

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) A priori estimates in context of PDEs (35B45) Qualitative properties of solutions to partial differential equations (35B99)

Related Items (5)

A geometric approach to the classification of the equilibrium shapes of self-gravitating fluids ⋮ Starshaped sets ⋮ Extremal eigenvalue problems for composite membranes. I ⋮ Extremal eigenvalue problems for composite membranes. II ⋮ Periodic perturbations of linear problems at resonance on convex domains

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