Results 71 to 80 of about 238 (179)
Existence and regularity for integro‐differential free transmission problem
Bulletin of the London Mathematical Society, Volume 57, Issue 7, Page 1923-1937, July 2025.Abstract We study an integro‐differential free transmission problem associated with the Bellman–Isaacs‐type operator that is solution‐dependent. The existence of a viscosity solution is proved by constructing solutions of suitable auxiliary problems for such a nonlocal problem.
Sun‐Sig Byun, Seunghyun Kim
wiley +1 more source
On the isoperimetric Riemannian Penrose inequality
Communications on Pure and Applied Mathematics, Volume 78, Issue 5, Page 1042-1085, May 2025.Abstract We prove that the Riemannian Penrose inequality holds for asymptotically flat 3‐manifolds with nonnegative scalar curvature and connected horizon boundary, provided the optimal decay assumptions are met, which result in the ADM$\operatorname{ADM}$ mass being a well‐defined geometric invariant.
Luca Benatti +2 more
wiley +1 more source
On a Neumann Problem with an Intrinsic Operator
AxiomsThis paper investigates the existence and location of solutions for a Neumann problem driven by a (p,q) Laplacian operator and with a reaction term that depends not only on the solution and its gradient but also incorporates an intrinsic operator, which ...
Dumitru Motreanu, Angela Sciammetta
doaj +1 more source
Optimal Sub- or Supersolutions in Reaction-Diffusion Problems
Journal of Differential Equations, 2002 The author considers the semilinear parabolic problem \[ \begin{aligned} & {{\partial u}\over{\partial t}} = \Delta u + f(u) \quad\text{in}\quad \Omega\times(0,T), \\& {{\partial u}\over{\partial n}} + g(u) = 0 \quad\text{on}\quad \partial\Omega\times(0,T), \\ & u(x,0) = u_0(x),\end{aligned}\tag \(*\) \] where \(\Omega\) is a sufficiently smooth ...
openaire +1 more source
Asymptotic behavior of positive solutions of a semilinear Dirichlet problem outside the unit ball
Electronic Journal of Differential Equations, 2013 In this article, we are concerned with the existence, uniqueness and asymptotic behavior of a positive classical solution to the semilinear boundary-value problem $$displaylines{ -Delta u=a(x)u^{sigma }quadext{in }D, cr lim _{|x|o 1}u(x)= lim_{|x|o ...
Habib Maagli +2 more
doaj
Existence of solutions for a nonlinear degenerate elliptic system
Electronic Journal of Differential Equations, 2004 In this paper, we study the existence of solutions for degenerate elliptic systems. We use the sub-super solution method, and the existence of classical and weak solutions.
Nguyen Minh, Tran Dinh Ke
doaj
Existence of solutions for singular (p,q)-Kirchhoff type systems with multiple parameters
Electronic Journal of Differential Equations, 2016 This article concerns the existence of positive solutions for singular (p,q)-Kirchhoff type systems with multiple parameters. Our approach is based on the method of sub- and super-solutions.
Sayyed Hashem Rasouli
doaj
Location of solutions for quasi-linear elliptic equations with general gradient dependence
Electronic Journal of Qualitative Theory of Differential Equations, 2017 Existence and location of solutions to a Dirichlet problem driven by $(p,q)$-Laplacian and containing a (convection) term fully depending on the solution and its gradient are established through the method of subsolution-supersolution.
Dumitru Motreanu, Elisabetta Tornatore
doaj +1 more source
Fractional double-phase nonlocal equation in Musielak-Orlicz Sobolev space
Boundary Value ProblemsIn this paper, we analyze the existence of solutions to a double-phase fractional equation of the Kirchhoff type in Musielak-Orlicz Sobolev space with variable exponents.
Tahar Bouali +2 more
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Existence and Nonexistence Results for Classes of Singular Elliptic Problem
Abstract and Applied Analysis, 2010 The singular semilinear elliptic problem -Δu+k(x)u-γ=λup in Ω, u>0 in Ω, u=0 on ∂Ω, is considered, where Ω is a bounded domain with smooth boundary in RN, k∈Clocα(Ω)∩C(Ω¯), and γ,p,λ are three positive constants.
Peng Zhang, Jia-Feng Liao
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