Hausdorff dimension of rupture sets and removable singularities

DOI10.1016/j.crma.2007.11.007zbMath1135.35033OpenAlexW2054102975MaRDI QIDQ2473009

Juan Dávila, Augusto C. Ponce

Publication date: 26 February 2008

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/139183

zbMATH Keywords

Hausdorff dimensionremovable singularityrupture setfintie energy solution

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45)

Related Items (4)

Rupture solutions of an elliptic equation with a singular nonlinearity ⋮ A class of negatively fractal dimensional Gaussian random functions ⋮ Qualitative analysis of rupture solutions for a MEMS problem ⋮ A note on zero-sets of fractional sobolev functions with negative power of integrability

Cites Work

• Positive versus free boundary solutions to a singular elliptic equation
• Remarks on the strong maximum principle.
• Zero set of Sobolev functions with negative power of integrability
• Dynamics of three-dimensional thin film rupture
• Singularities of positive supersolutions in elliptic PDEs
• Kato's inequality when \(\Delta u\) is a measure
• Variants of Kato's inequality and removable singularities
• Symmetry of solutions of semilinear elliptic problems
• Elliptic equations with vertical asymptotes in the nonlinear term
• Hausdorff dimension of ruptures for solutions of a semilinear elliptic equation with singular nonlinearity
• Unnamed Item

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