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https://hdl.handle.net/10316/11321| Title: | The obstacle problem for nonlinear elliptic equations with variable growth and L1-data | Authors: | Rodrigues, José Francisco Sanchón, Manel Urbano, José Miguel |
Keywords: | Obstacle problem; Variable growth; Entropy solutions; L1-data; Stability; Lewy–Stampacchia inequalities | Issue Date: | 2006 | Publisher: | Centro de Matemática da Universidade de Coimbra | Citation: | Pré-Publicações DMUC. 06-53 (2006) | Abstract: | The aim of this paper is twofold: to prove, for L1-data, the existence and uniqueness of an entropy solution to the obstacle problem for nonlinear elliptic equations with variable growth, and to show some convergence and stability properties of the corresponding coincidence set. The latter follow from extending the Lewy–Stampacchia inequalities to the general framework of L1 | URI: | https://hdl.handle.net/10316/11321 | Rights: | openAccess |
| Appears in Collections: | FCTUC Matemática - Vários |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| The obstacle problem for nonlinear elliptic equations.pdf | 160.14 kB | Adobe PDF | View/Open |
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