A Generalization of Stampacchia Lemma and Applications
| Autor: | Gao, Hongya, Zhang, Jiaxiang, Ma, Hongyan |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We present a generalization of Stampacchia Lemma and give applications to regularity property of weak and entropy solutions of degenerate elliptic equations of the form $$ \left\{ \begin{array}{llll} -\mbox{div} (a(x,u(x)) Du (x)) =f(x), & \mbox { in } \Omega, \\ u(x)=0, & \mbox { on } \partial \Omega, \end{array} \right. $$ where $$ \frac {\alpha}{(1+|u|) ^\theta} \le a(x,s)\le \beta $$ with $0<\alpha \le \beta <\infty$ and $0\le \theta <1$. Comment: 10 pages |
| Databáze: | arXiv |
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