Application of the nonlinear capacity method to differential inequalities of Sobolev type

DOI10.1134/S0012266109070027zbMath1181.35350MaRDI QIDQ1033658

A. G. Sveshnikov, M. O. Korpusov

Publication date: 6 November 2009

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

zbMATH Keywords

nonlinear capacity methoddifferential inequalities of Sobolev typeFujita critical exponents

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Partial differential inequalities and systems of partial differential inequalities (35R45)

Related Items (3)

Nonexistence criteria for a generalized Boussinesq-type equation in bounded and unbounded domains ⋮ A (3+1)-dimensional equation of plasma drift waves perturbed by a singular potential in an infinite parallelepiped ⋮ On the critical behavior for a Sobolev-type inequality with Hardy potential

Cites Work

• Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
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