Morrey spaces and local regularity of minimizers of variational integrals
We study the regularity (Hölder continuity, BMO, higher summability) of local minimizers of integral functionals of the Calculus of Variations in the scalar case. We assume that the integrand satisfies a growth condition involving a function which belongs to a certain Morrey space. No differentiabil...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Sapienza Università Editrice
2001-01-01
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| Series: | Rendiconti di Matematica e delle Sue Applicazioni |
| Subjects: | |
| Online Access: | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2001/121-141.pdf |
| Summary: | We study the regularity (Hölder continuity, BMO, higher summability) of local minimizers of integral functionals of the Calculus of Variations in the scalar case. We assume that the integrand satisfies a growth condition involving a function which belongs to a certain Morrey space. No differentiability assumption is required. Analogous results are proved for weak solutions of nonlinear elliptic equations of p-Laplacian type. |
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| ISSN: | 1120-7183 2532-3350 |