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Quasilinear elliptic equations with sub-natural growth terms in bounded domains
| Title: | Quasilinear elliptic equations with sub-natural growth terms in bounded domains |
| Authors: | Hara, Takanobu Browse this author |
| Keywords: | Quasilinear elliptic equation | | p-Laplacian | | Wolff potential | | Measure data | | Trace inequality |
| Issue Date: | Nov-2021 |
| Publisher: | Springer |
| Journal Title: | Nodea-nonlinear Differential Equations and Applications |
| Volume: | 28 |
| Issue: | 6 |
| Start Page: | 62 |
| Publisher DOI: | 10.1007/s00030-021-00724-5 |
| Abstract: | We consider the existence of positive solutions to weighted quasilinear elliptic differential equations of the type {-Delta(p,w)u = sigma u(q )in Omega, u = 0 on partial derivative Omega in the sub-natural growth case 0 < q < p - 1, where Omega is a bounded domain in R-n, Delta(p,w) is a weighted p-Laplacian, and a is a nonnegative (locally finite) Radon measure on Omega We give criteria for the existence problem. For the proof, we investigate various properties of p-superharmonic functions, especially the solvability of Dirichlet problems with infinite measure data. |
| Rights: | This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s00030-021-00724-5 |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/87051 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 原 宇信
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