Artikel
Lizenziert
Nicht lizenziert
Erfordert eine Authentifizierung
Existence of nontrivial solutions to quasilinear polyharmonic equations with critical exponential growth
-
Sarika Goyal
und
Konijeti Sreenadh
Veröffentlicht/Copyright:
9. Januar 2015
Abstract
In this article, we show the existence of a nontrivial solution of the quasilinear polyharmonic equation Δn/mmu = f(x,u) in Ω, u = ∇u = ⋯ = ∇m-1u = 0 on ∂Ω, where Ω is a bounded domain in ℝn, n ≥ 2m ≥ 2, and f behaves like e|u|n/(n-m) as |u| → ∞.
Received: 2014-4-15
Revised: 2014-11-7
Accepted: 2014-11-26
Published Online: 2015-1-9
Published in Print: 2015-1-1
© 2015 by De Gruyter
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Artikel in diesem Heft
- Frontmatter
- Existence of nontrivial solutions to quasilinear polyharmonic equations with critical exponential growth
- The one-dimensional heat equation in the Alexiewicz norm
- Qualitative analysis of a mathematical model for tumor growth under the effect of periodic therapy
- On the modification of non-regular linear functionals via addition of the Dirac delta function
Artikel in diesem Heft
- Frontmatter
- Existence of nontrivial solutions to quasilinear polyharmonic equations with critical exponential growth
- The one-dimensional heat equation in the Alexiewicz norm
- Qualitative analysis of a mathematical model for tumor growth under the effect of periodic therapy
- On the modification of non-regular linear functionals via addition of the Dirac delta function
