Qualitative analysis of rupture solutions for a MEMS problem

DOI10.1016/j.anihpc.2014.09.009zbMath1350.35093arXiv1304.3211OpenAlexW2074264414MaRDI QIDQ899245

Kelei Wang, Juan Dávila, Wei, Juncheng

Publication date: 23 December 2015

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.3211

zbMATH Keywords

Liouville type theoremHausdorff dimensionHölder continuitystationary solutionmonotonicity formulaFederer dimension reduction principlesemilinear elliptic equations with negative power

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Semilinear elliptic equations (35J61) Singular elliptic equations (35J75)

Related Items (8)

On properties of positive solutions to nonlinear tri-harmonic and bi-harmonic equations with negative exponents ⋮ Moving planes for nonlinear fractional Laplacian equation with negative powers ⋮ Properties of positive solutions to nonlocal problems with negative exponents in unbounded domains ⋮ Some singular equations modeling MEMS ⋮ The nodal set of solutions to some elliptic problems: singular nonlinearities ⋮ On the nonexistence of stable solutions of sub-elliptic systems with negative exponents ⋮ Radial symmetry for a generalized nonlinear fractional p-Laplacian problem ⋮ Radial single point rupture solutions for a general MEMS model

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