A note on regular points for solutions of nonlinear elliptic systems

Josef Daněček; Eugen Viszus

Displaying similar documents to “A note on regular points for solutions of nonlinear elliptic systems”

Existence and nonexistence results for reaction-diffusion equations in product of cones

Abdallah Hamidi, Gennady Laptev (2003)

Open Mathematics

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Problems of existence and nonexistence of global nontrivial solutions to quasilinear evolution differential inequalities in a product of cones are investigated. The proofs of the nonexistence results are based on the test-function method developed, for the case of the whole space, by Mitidieri, Pohozaev, Tesei and Véron. The existence result is established using the method of supersolutions.

Compact embeddings of Besov spaces involving only slowly varying smoothness

António Caetano, Amiran Gogatishvili, Bohumír Opic (2011)

Czechoslovak Mathematical Journal

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We characterize compact embeddings of Besov spaces $B_{p, r}^{0, b} (ℝ^{n})$ involving the zero classical smoothness and a slowly varying smoothness $b$ into Lorentz-Karamata spaces $L_{p, q; \bar{b}} (Ω)$ , where $Ω$ is a bounded domain in $ℝ^{n}$ and $\bar{b}$ is another slowly varying function.

Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations

Peter Constantin, Jiahong Wu (2009)

Annales de l'I.H.P. Analyse non linéaire

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Liouville theorems, a priori estimates, and blow-up rates for solutions of indefinite superlinear parabolic problems

Juraj Földes (2011)

Czechoslovak Mathematical Journal

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In this paper we establish new nonlinear Liouville theorems for parabolic problems on half spaces. Based on the Liouville theorems, we derive estimates for the blow-up of positive solutions of indefinite parabolic problems and investigate the complete blow-up of these solutions. We also discuss a priori estimates for indefinite elliptic problems.

Nonlinear degenerate elliptic equations with measure data

Fengquan Li (2007)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we prove existence results for some nonlinear degenerate elliptic equations with data in the space of bounded Radon measures and we improve the results already obtained in Cirmi G.R., , Ricerche Mat. (1993), no. 2, 315–329.