{"paper":{"title":"A high regularity result of solutions to modified p-Stokes equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Francesca Crispo, Paolo Maremonti","submitted_at":"2013-08-05T13:36:23Z","abstract_excerpt":"This paper is concerned with a special elliptic system, which can be seen as a perturbed $p$-Laplacean system, $p\\in(1,2)$, and, for its \"shape\", it is close to the $p$-Stokes system. Since our \"stress tensor\" is given by means of $\\nabla u $ and not by its symmetric part, then our system is not a $p$-Stokes system. Hence, the system is called {\\it modified} $p$-Stokes system. We look for the high regularity of the solutions $(u,\\pi)$, that is $D^2u,\\nabla\\pi \\in L^q,q\\in(1,\\infty)$. In particular, we get $\\nabla u,\\pi\\in C^{0,\\alpha}$. As far as we know, such a result of high regularity is th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.0980","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}