Solutions to the prescribed mean curvature equation
نویسندگان
چکیده
منابع مشابه
Subharmonic solutions of the prescribed curvature equation∗
We study the existence of subharmonic solutions of the prescribed curvature equation − ( u′/ √ 1 + u′ )′ = f(t, u). According to the behaviour at zero, or at infinity, of the prescribed curvature f , we prove the existence of arbitrarily small classical subharmonic solutions, or bounded variation subharmonic solutions with arbitrarily large oscillations. 2010 Mathematics Subject Classification:...
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It is known that for the parametric Plateau’s problem, weak solutions can be obtained as critical points of a functional (see [2, 6, 7, 8, 10, 11]). The nonparametric case has been studied for H = H(x,y) (and generally H = H(x1, . . . ,xn) for hypersurfaces in Rn+1) by Gilbarg, Trudinger, Simon, and Serrin, among other authors. It has been proved [5] that there exists a solution for any smooth ...
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where τ , e ∈ C(R,R) are T-periodic, and f , g ∈ C(R × R,R) are T-periodic in the first argument, T > is a constant. In recent years, there are many results on the existence of periodic solutions for various types of delay differential equation with deviating arguments, especially for the Liénard equation and Rayleigh equation (see [–]). Now as the prescribed mean curvature ( x ′(t) √ +x′...
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ژورنال
عنوان ژورنال: Proyecciones (Antofagasta)
سال: 1999
ISSN: 0716-0917,0717-6279
DOI: 10.22199/s07160917.1999.0002.00003