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On partial regularity of the borderline solution of semilinear parabolic equation with critical growth

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Publication:1940054
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zbMath1262.35067MaRDI QIDQ1940054

Shi-Zhong Du

Publication date: 5 March 2013

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ade/1355867484


zbMATH Keywords

concentration phenomenonformation of bubbles


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Semilinear parabolic equations (35K58)


Related Items (7)

Dynamical boundary problem for Dirichlet-to-Neumann operator with critical Sobolev exponent and Hardy potential ⋮ The global solution and blowup of a spatiotemporal EIT problem with a dynamical boundary condition ⋮ Global, decaying solutions of a focusing energy-critical heat equation in \(\mathbb{R}^4\) ⋮ Bubbling Blow-Up in Critical Parabolic Problems ⋮ Heat flow for Dirichlet-to-Neumann operator with critical growth ⋮ The singular set of stationary solution for semilinear elliptic equations with supercritical growth ⋮ Nonlinear elliptic-parabolic problem involving p-Dirichlet-to-Neumann operator with critical exponent




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