| Title: | On partially free boundary solutions for elliptic problems with non-lipschitz nonlinearities |
| Authors: | Bobkov, Vladimír Drábek, Pavel Ilyasov, Yavdat |
| Citation: | BOBKOV, V., DRÁBEK, P., ILYASOV, Y. On partially free boundary solutions for elliptic problems with non-lipschitz nonlinearities. In: Applied mathematics letters, 2019, roč. 95, č. September 2019, s. 23-28. ISSN 0893-9659. |
| Issue Date: | 2019 |
| Publisher: | Elsevier |
| Document type: | článek article |
| URI: | 2-s2.0-85063322963 http://hdl.handle.net/11025/34838 |
| ISSN: | 0893-9659 |
| Keywords in different language: | non-Lipschitz nonlinearity;compactons;compact support solutions;free boundary solutions |
| Abstract in different language: | We show that the elliptic equation with non-Lipschitz right-hand side, considered on a smooth star-shaped domain Ω subject to zero Dirichlet boundary conditions, might possess a nonnegative ground state solution which violates Hopf’s maximum principle only on a nonempty subset Γ of the boundary 𝜕Ω such that Γ ̸= 𝜕Ω. |
| Rights: | Plný text není přístupný. © Elsevier |
| Appears in Collections: | Články / Articles (KMA) Články / Articles (NTIS) OBD |
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