s, p-Harmonic Approximation of Functions of Least W s,l-Seminorm
| Autor: | Enrico Valdinoci, Luca Lombardini, Serena Dipierro, Claudia Bucur, José M. Mazón |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | International Mathematics Research Notices. 2023:1173-1235 |
| ISSN: | 1687-0247 1073-7928 |
| DOI: | 10.1093/imrn/rnab284 |
| Popis: | We investigate the convergence as $p\searrow 1$ of the minimizers of the $W^{s,p}$-energy for $s\in (0,1)$ and $p\in (1,\infty )$ to those of the $W^{s,1}$-energy, both in the pointwise sense and by means of $\Gamma $-convergence. We also address the convergence of the corresponding Euler–Lagrange equations and the equivalence between minimizers and weak solutions. As ancillary results, we study some regularity issues regarding minimizers of the $W^{s,1}$-energy. |
| Databáze: | OpenAIRE |
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