Nontrivial Solution for a Kirchhoff Type Problem with Zero Mass
نویسندگان
چکیده
منابع مشابه
Nontrivial solutions of Kirchhoff type problems
In this paper, we study Kirchhoff type problems on a bounded domain. We consider the cases that the nonlinearity is superlinear near zero but asymptotically 4-linear at infinity, and the nonlinearity is asymptotically linear near zero but 4-superlinear at infinity. By computing the relevant critical groups, we obtain nontrivial solutions via Morse theory.
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Copyright q 2010 Bitao Cheng et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. By using variational methods, we study the multiplicity of solutions for Kirchhoff type problems −a b Ω |∇u| 2 Δu f x, u, in Ω; u 0, on ∂Ω. Existe...
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Article history: Received 16 May 2013 Available online 26 August 2013 Submitted by V. Radulescu
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The Kirchhoff-Plateau problem concerns the equilibrium shapes of a system in which a flexible filament in the form of a closed loop is spanned by a liquid film, with the filament being modeled as a Kirchhoff rod and the action of the spanning surface being solely due to surface tension. We establish the existence of an equilibrium shape that minimizes the total energy of the system under the ph...
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ژورنال
عنوان ژورنال: Journal of Mathematical Study
سال: 2021
ISSN: 2096-9856,2617-8702
DOI: 10.4208/jms.v54n4.21.04