Gentile, Andrea (2021) Regularity results for solutions to some classes of elliptic problems with sub-quadratic growth. [Tesi di dottorato]
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| Item Type: | Tesi di dottorato |
|---|---|
| Resource language: | English |
| Title: | Regularity results for solutions to some classes of elliptic problems with sub-quadratic growth |
| Creators: | Creators Email Gentile, Andrea andrea.gentile@unina.it |
| Date: | 13 December 2021 |
| Number of Pages: | 158 |
| Institution: | Università degli Studi di Napoli Federico II |
| Department: | Matematica e Applicazioni "Renato Caccioppoli" |
| Dottorato: | Matematica e Applicazioni |
| Ciclo di dottorato: | 34 |
| Coordinatore del Corso di dottorato: | nome email Moscariello, Gioconda gioconda.moscariello@unina.it |
| Tutor: | nome email Moscariello, Gioconda UNSPECIFIED Passarelli di Napoli, Antonia UNSPECIFIED |
| Date: | 13 December 2021 |
| Number of Pages: | 158 |
| Keywords: | local minimizers; higher differentiability |
| Settori scientifico-disciplinari del MIUR: | Area 01 - Scienze matematiche e informatiche > MAT/05 - Analisi matematica |
| Date Deposited: | 24 Dec 2021 08:29 |
| Last Modified: | 28 Feb 2024 12:03 |
| URI: | http://www.fedoa.unina.it/id/eprint/14285 |
Collection description
The aim of this thesis is to present some regularity results for local solutions to certain classes of elliptic problems where the energy density of the integral functional satisfies p-growth and p- ellipticity conditions with respect to the gradient variable, with 1<p<2. The peculiarities due to the sub-quadratic growth conditions combine with the fact that the derivatives of the energy density with respect to the gradient variable are assumed to belong to some Sobolev or Besov-Lipschitz space, as functions of the spatial variable x. Both unconstrained and obstacle problems are treated, and most of the results deal with higher differentiability of solutions.
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