The compactness theorem for inhomogeneous semilinear elliptic equations with supercritical exponents

DOI10.1016/J.NA.2008.07.009zbMath1163.35377OpenAlexW2044499817MaRDI QIDQ1012066

Song Bo Hou

Publication date: 14 April 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.07.009

zbMATH Keywords

Hausdorff dimensionmonotonicity formulablow-up set estimateinhomogeneous semilinear equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stability in context of PDEs (35B35) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Cites Work

• Unnamed Item
• Some limit theorems for super-Brownian motion and semilinear differential equations
• Multiple positive solutions for an inhomogeneous semilinear problem in exterior domains
• A monotonicity formula for Yang-Mills fields
• Partial regularity for stationary harmonic maps into spheres
• Partial regularity for weak solutions of a nonlinear elliptic equation
• Zero set of Sobolev functions with negative power of integrability
• On the existence of multiple positive solutions for a semilinear problem in exterior domains
• The blow up locus of semilinear elliptic equations with supercritical exponents
• Existence and infinite multiplicity for an inhomogeneous semilinear elliptic equation on \(\mathbb R^n\)

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