Convergence and partial regularity for weak solutions of some nonlinear elliptic equation: The supercritical case

DOI10.1016/S0294-1449(16)30177-9zbMath0837.35026OpenAlexW2182914707MaRDI QIDQ1904220

Frank Pacard

Publication date: 18 December 1995

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

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1994__11_5_537_0

zbMATH Keywords

supercritical nonlinearityHausdorff dimension of the singular set

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items

Stable and finite Morse index solutions of a nonlinear elliptic system ⋮ Partial regularity of stable solutions to the Emden equation ⋮ Partial regularity of stable solutions to the supercritical equations and its applications ⋮ Liouville-type theorems for the fourth order nonlinear elliptic equation ⋮ The singular set of stationary solution for semilinear elliptic equations with supercritical growth ⋮ A monotonicity formula and a Liouville-type theorem for a fourth order supercritical problem ⋮ Partial regularity for weak solutions of anisotropic Lane-Emden equation ⋮ Partial regularity of finite Morse index solutions to the Lane-Emden equation ⋮ Existence of positive solutions for a class of semilinear and quasilinear elliptic equations with supercritical case ⋮ Partial regularity for weak solutions of nonlinear elliptic equations with supercritical exponents ⋮ Recent progress on stable and finite Morse index solutions of semilinear elliptic equations ⋮ Partial regularity of stable solutions to the fractional Geľfand-Liouville equation

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