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A few natural extensions of the regularity of a very weak solution.

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Publication:425270
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zbMath1249.35082MaRDI QIDQ425270

Jean Michel Rakotoson

Publication date: 7 June 2012

Published in: Differential and Integral Equations (Search for Journal in Brave)


zbMATH Keywords

regularityLorentz spacesemi-linear equation


Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60)


Related Items (6)

Study of the regularity of solutions for a elasticity system with integrable data with respect to the distance function to the boundary ⋮ Linear diffusion with singular absorption potential and/or unbounded convective flow: the weighted space approach ⋮ Some nonlinear elliptic systems with right-hand side integrable data with respect to the distance to the boundary ⋮ 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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