Existence and multiplicity of real solutions to the Helmholtz equation with concave and convex nonlinearities
In this paper, we study real solutions of the nonlinear Helmholtz equation−Δu−k2u=γM(x)|u|q−2u+f(x,u) for x∈RN, $$-{\Delta}u-{k}^{2}u=\gamma M\left(x\right)\vert u{\vert }^{q-2}u+f\left(x,u\right)\quad \,\text{for}\,x\in {\mathbb{R}}^{N},$$ subject to the asymptotic conditionsu(x)=O|x|1−N2 and ∂2u∂...
Salvato in:
| Autori principali: | , , , |
|---|---|
| Natura: | Artigo |
| Lingua: | Inglês |
| Pubblicazione: |
De Gruyter
2026-04-01
|
| Serie: | Demonstratio Mathematica |
| Soggetti: | |
| Accesso online: | https://doi.org/10.1515/dema-2025-0227 |
| Tags: |
Nessun Tag, puoi essere il primo ad aggiungerne!!
|