A Kirchhoff-type problem involving concave-convex nonlinearities
| Autor: | Shixia Luan, Yonghong Wu, Lishan Liu, Yuan Gao |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Concave-convex nonlinearities
Algebra and Number Theory Partial differential equation Nehari manifolds Kirchhoff type lcsh:Mathematics Applied Mathematics 010102 general mathematics Mathematical analysis Regular polygon lcsh:QA1-939 01 natural sciences 010101 applied mathematics Ordinary differential equation Kirchhoff-type problem Ground state sign-changing solutions 0101 mathematics Nehari manifold Ground state Analysis Energy (signal processing) Mathematics |
| Zdroj: | Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-13 (2021) |
| ISSN: | 1687-1847 |
| DOI: | 10.1186/s13662-021-03331-x |
| Popis: | A Kirchhoff-type problem with concave-convex nonlinearities is studied. By constrained variational methods on a Nehari manifold, we prove that this problem has a sign-changing solution with least energy. Moreover, we show that the energy level of this sign-changing solution is strictly larger than the double energy level of the ground state solution. |
| Databáze: | OpenAIRE |
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