Caccioppoli--type estimates and Hardy--type inequalities derived from degenerated $p$--harmonic problems
| Autor: | Drábek, Pavel, Kałamajska, Agnieszka, Skrzypczak, Iwona |
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| Rok vydání: | 2016 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We obtain Caccioppoli--type estimates for nontrivial and nonnegative solutions to the anticoercive partial differential inequalities of elliptic type involving degenerated $p$--Laplacian: $-\Delta_{p,a} u:= -\mathrm{div}(a(x)|\na u|^{p-2}\na u)\ge b(x)\Phi (u)$, where $u$ is defined in a domain $\Omega$. Using Caccioppoli--type estimates, we obtain several variants of Hardy--type inequalities in weighted Sobolev spaces. |
| Databáze: | arXiv |
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