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Existence of nontrivial weak solutions for p-biharmonic Kirchhoff-type equations

Title
Existence of nontrivial weak solutions for p-biharmonic Kirchhoff-type equations
Authors
Bae J.-H.Kim J.-M.Lee J.Park K.
Ewha Authors
이종락
Issue Date
2019
Journal Title
Boundary Value Problems
ISSN
1687-2762JCR Link
Citation
Boundary Value Problems vol. 2019, no. 1
Keywords
Kirchhoff typep-biharmonicVariational method
Publisher
Springer International Publishing
Indexed
SCOPUS WOS scopus
Document Type
Article
Abstract
We are concerned with the following p-biharmonic equations: Δp2u+M(∫RNΦ0(x,∇u)dx)div(φ(x,∇u))+V(x)

u

p−2u=λf(x,u)in RN, where 2 < 2 p< N, Δp2u=Δ(

Δu

p−2Δu), the function φ(x, v) is of type

v

p − 2v, φ(x,v)=ddvΦ0(x,v), the potential function V: RN→ (0 , ∞ ) is continuous, and f: RN× R→ R satisfies the Carathéodory condition. We study the existence of weak solutions for the problem above via mountain pass and fountain theorems. © 2019, The Author(s).
DOI
10.1186/s13661-019-1237-6
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연구기관 > 수리과학연구소 > Journal papers
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