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Existence of minimal solutions to quasilinear elliptic equations with several sub-natural growth terms
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| Title: | Existence of minimal solutions to quasilinear elliptic equations with several sub-natural growth terms |
| Authors: | Hara, Takanobu Browse this author | | Seesanea, Adisak Browse this author |
| Keywords: | Quasilinear elliptic equation | | Measure data | | p-Laplacian | | Wolff potential |
| Issue Date: | Aug-2020 |
| Publisher: | Elsevier |
| Journal Title: | Nonlinear analysis. Theory, methods and applications |
| Volume: | 197 |
| Start Page: | 111847 |
| Publisher DOI: | 10.1016/j.na.2020.111847 |
| Abstract: | We study the existence of positive solutions to quasilinear elliptic equations of the type -Delta(p)u = sigma u(q) + mu in R-n, in the sub-natural growth case 0 < q < p - 1, where Delta(p)u = del center dot (vertical bar del u vertical bar(p-2)del u) is the p-Laplacian with 1 < p < n, and sigma and mu are nonnegative Radon measures on R-n. We construct minimal generalized solutions under certain generalized energy conditions on sigma and mu. To prove this, we give new estimates for interaction between measures. We also construct solutions to equations with several sub-natural growth terms using the same methods. (C) 2020 Elsevier Ltd. All rights reserved. |
| Rights: | ©2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ | | http://creativecommons.org/licenses/by-nc-nd/4.0/ |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/86438 |
| 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: Adisak Seesanea
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