Results 71 to 80 of about 6,660 (232)
Ambrosetti-Prodi type results in a system of second and fourth-order ordinary differential equations
Electronic Journal of Differential Equations, 2008 In this paper, by the variational method, we study the existence, nonexistence, and multiplicity of solutions of an Ambrosetti-Prodi type problem for a system of second and fourth order ordinary differential equations.
Jing Feng, Yukun An
doaj
Hypersurfaces of Prescribed Gauss Curvature in Exterior Domains
, 2001 We prove an existence theorem for convex hypersurfaces of prescribed Gauss curvature in the complement of a compact set in Euclidean space which are close to a cone.Comment: 15 pages, LaTeX (published ...
Finster, Felix, Schnuerer, Oliver C.
core +2 more sources
Harmonic maps to the circle with higher dimensional singular set
Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.Abstract In a closed, oriented ambient manifold (Mn,g)$(M^n,g)$ we consider the problem of finding S1$\mathbb {S}^1$‐valued harmonic maps with prescribed singular set. We show that the boundary of any oriented (n−1)$(n-1)$‐submanifold can be realised as the singular set of an S1$\mathbb {S}^1$‐valued map, which is classically harmonic away from the ...
Marco Badran
wiley +1 more source
Existence of solutions to p-Laplace equations with logarithmic nonlinearity
Electronic Journal of Differential Equations, 2009 This article concerns the the nonlinear elliptic equation $$ -hbox{div}(| abla u|^{p-2} abla u) =log u^{p-1}+lambda f(x,u) $$ in a bounded domain $Omega subset mathbb{R}^{N}$ with $Ngeq 1$ and $u=0$ on $partialOmega$.
Jing Mo, Zuodong Yang
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Communications on Pure and Applied Mathematics, Volume 79, Issue 1, Page 3-88, January 2026.Abstract We address the problem of regularity of solutions ui(t,x1,…,xN)$u^i(t, x^1, \ldots, x^N)$ to a family of semilinear parabolic systems of N$N$ equations, which describe closed‐loop equilibria of some N$N$‐player differential games with Lagrangian having quadratic behaviour in the velocity variable, running costs fi(x)$f^i(x)$ and final costs gi(
Marco Cirant, Davide Francesco Redaelli
wiley +1 more source
On uniqueness of solutions to complex Monge–Ampère mean field equations
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3163-3180, October 2025.Abstract We establish the uniqueness of solutions to complex Monge–Ampère mean field equations when (minus) the temperature parameter is small. In the local setting of bounded hyperconvex domains, our result partially confirms a conjecture by Berman and Berndtsson. Our approach also extends to the global context of compact complex manifolds.
Chinh H. Lu, Trong‐Thuc Phung
wiley +1 more source
Asymptotic behavior of positive solutions of a semilinear Dirichlet problem in exterior domains
Electronic Journal of Differential Equations, 2018 In this article, we study the existence, uniqueness and the asymptotic behavior of a positive classical solution to the semilinear boundary value problem $$\displaylines{ -\Delta u=a(x)u^{\sigma }\quad \text{in }D, \cr u|_{\partial D}=0,\quad ...
Habib Maagli +2 more
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The existence of positive solutions for Kirchhoff-type problems via the sub-supersolution method
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 In this paper we discuss the existence of a solution between wellordered subsolution and supersolution of the Kirchhoff equation. Using the sub-supersolution method together with a Rabinowitz-type global bifurcation theory, we establish the existence of ...
Yan Baoqiang +2 more
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Sharp sub-Gaussian upper bounds for subsolutions of Trudinger's equation on Riemannian manifolds [PDF]
, 2023 Philipp Sürig
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The robust Orlicz risk with an application to the green photovoltaic power generation
Asian Journal of Control, Volume 27, Issue 4, Page 1655-1667, July 2025.Abstract We propose a novel recursive utility for controlling stochastic processes under risk and uncertainty. Our formulation uses a robustified Orlicz risk that can evaluate risk and uncertainty simultaneously. We focus on the control problem of a photovoltaic power generation system that supplies excess electricity for the secondary purpose of ...
Hidekazu Yoshioka, Motoh Tsujimura
wiley +1 more source