منابع مشابه
Stability of F-biharmonic maps
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متن کاملHarmonic Maps and Biharmonic Maps
This is a survey on harmonic maps and biharmonic maps into (1) Riemannian manifolds of non-positive curvature, (2) compact Lie groups or (3) compact symmetric spaces, based mainly on my recent works on these topics.
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In this article, we prove the existence and uniqueness of solutions for the Dirichlet problem (P ) { ∆(ω(x)|∆u|∆u)− div[ω(x)|∇u|∇u] = f(x)− div(G(x)), in Ω u(x) = 0, in ∂Ω where Ω is a bounded open set of R (N≥2), f∈L (Ω, ω) and G/ω∈[L (Ω, ω)] .
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In this article, we show the existence of at least three solutions to a Navier boundary problem involving the p(x)-biharmonic operator. The technical approach is mainly base on a three critical points theorem by Ricceri.
متن کاملPicone’s Identity for the P-biharmonic Operator with Applications
In this article, a Picone-type identity for the weighted p-biharmonic operator is established and comparison results for a class of half-linear partial differential equations of fourth order based on this identity are derived.
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ژورنال
عنوان ژورنال: Calculus of Variations and Partial Differential Equations
سال: 2013
ISSN: 0944-2669,1432-0835
DOI: 10.1007/s00526-013-0688-3