| Title: | Existence and multiplicity results for a class of semilinear elliptic equations |
| Authors: | Bobkov, Vladimír Drábek, Pavel Hernández, Jesus |
| Citation: | BOBKOV, V., DRÁBEK, P., HERNÁNDEZ, J. Existence and multiplicity results for a class of semilinear elliptic equations. Nonlinear Analysis, 2020, roč. 200, č. NOV 2020, s. 1-25. ISSN 0362-546X. |
| Issue Date: | 2020 |
| Publisher: | Elsevier |
| Document type: | článek article |
| URI: | 2-s2.0-85086362891 http://hdl.handle.net/11025/39661 |
| ISSN: | 0362-546X |
| Keywords in different language: | Existence;Multiplicity;Branches;Positive solutions;Non-Lipschitz nonlinearities;Variational methods;Flat solutions;Compact support solutions. |
| Abstract in different language: | We study the existence and multiplicity of nonnegative solutions, as well as the behavior of corresponding parameter-dependent branches, to the equation −Δu = (1 − u)um − λun in a bounded domain Ω ⊂ RN endowed with the zero Dirichlet boundary data, where 0 < m ≤ 1 and n > 0. When λ > 0, the obtained solutions can be seen as steady states of the corresponding reaction– diffusion equation describing a model of isothermal autocatalytic chemical reaction with termination. In addition to the main new results, we formulate a few relevant conjectures. |
| Rights: | Plný text není přístupný. © Elsevier |
| Appears in Collections: | Články / Articles (KMA) OBD |
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