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:
CreatorsEmail
Gentile, Andreaandrea.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:
nomeemail
Moscariello, Giocondagioconda.moscariello@unina.it
Tutor:
nomeemail
Moscariello, GiocondaUNSPECIFIED
Passarelli di Napoli, AntoniaUNSPECIFIED
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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