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Existence of nontrivial solutions to quasilinear polyharmonic equations with critical exponential growth
-
Sarika Goyal
and
Konijeti Sreenadh
Published/Copyright:
January 9, 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
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- 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
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Articles in the same Issue
- 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
