Gradient blow-up in Zygmund spaces for the very weak solution of a linear elliptic equation

DOI10.3934/dcds.2013.33.1809OpenAlexW2327415172MaRDI QIDQ1948772

Frederic Abergel, Jean Michel Rakotoson

Publication date: 24 April 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2013.33.1809

zbMATH Keywords

Laplace equationvery weak solutionsgradient blow-up

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

Very weak solutions of linear elliptic PDEs with singular data and irregular coefficients ⋮ Linear diffusion with singular absorption potential and/or unbounded convective flow: the weighted space approach ⋮ New Hardy inequalities and behaviour of linear elliptic equations ⋮ Very weak solutions of Poisson's equation with singular data under Neumann boundary conditions ⋮ A sufficient condition for a blow-up in the space of absolutely continuous functions for the very weak solution

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