Partial regularity of stable solutions to the Emden equation

DOI10.1007/s00526-011-0446-3zbMath1245.35044OpenAlexW1977184720WikidataQ115387513 ScholiaQ115387513MaRDI QIDQ425163

Kelei Wang

Publication date: 7 June 2012

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-011-0446-3

zbMATH Keywords

regularity of solutionsupercritical elliptic equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Weak solutions to PDEs (35D30)

Related Items (16)

Partial regularity of the fractional Gelfand-Liouville system ⋮ Erratum to: ``Partial regularity of stable solutions to the Emden equation ⋮ The Gel'fand problem for the biharmonic operator ⋮ Qualitative properties of stable solutions to some supercritical problems ⋮ Partial regularity for a Liouville system ⋮ On stable and finite Morse index solutions of the nonlocal Hénon-Gelfand-Liouville equation ⋮ Some Liouville theorems for Hénon type elliptic equations ⋮ Partial regularity for weak solutions of anisotropic Lane-Emden equation ⋮ Partial regularity of finite Morse index solutions to the Lane-Emden equation ⋮ Partial regularity and Liouville theorems for stable solutions of anisotropic elliptic equations ⋮ Monotonicity formula and \(\varepsilon\)-regularity of stable solutions to supercritical problems and applications to finite Morse index solutions ⋮ Recent progress on stable and finite Morse index solutions of semilinear elliptic equations ⋮ Stable and finite Morse index solutions of Toda system ⋮ Topics of stable solutions to elliptic equations ⋮ Second order estimate on transition layers ⋮ Partial regularity of stable solutions to the fractional Geľfand-Liouville equation

Cites Work

• Unnamed Item
• Partial regularity of stable solutions to the supercritical equations and its applications
• Partial regularity of finite Morse index solutions to the Lane-Emden equation
• Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems
• Elliptic partial differential equations of second order
• Convergence and partial regularity for weak solutions of some nonlinear elliptic equation: The supercritical case
• Finite Morse index solutions of exponential problems
• Quasilinear Dirichlet problems driven by positive sources
• Stable solutions of \(-\delta u=e^u\) on \(\mathbb R^N\)
• Partial Regularity for Stationary Solutions to Liouville-Type Equation in Dimension 3
• Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e^uin two dimensions

This page was built for publication: Partial regularity of stable solutions to the Emden equation