Results 81 to 90 of about 6,453 (213)
Harmonic balls in Liouville quantum gravity
Proceedings of the London Mathematical Society, Volume 130, Issue 1, January 2025.Abstract Harmonic balls are domains that satisfy the mean‐value property for harmonic functions. We establish the existence and uniqueness of harmonic balls on Liouville quantum gravity (LQG) surfaces using the obstacle problem formulation of Hele–Shaw flow.
Ahmed Bou‐Rabee, Ewain Gwynne
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Viscosity Solutions of Fully Nonlinear Parabolic Path Dependent PDEs: Part I [PDF]
, 2014 The main objective of this paper and the accompanying one \cite{ETZ2} is to provide a notion of viscosity solutions for fully nonlinear parabolic path-dependent PDEs.
Ekren, Ibrahim +2 more
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Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.This research examines the behavior of interfaces in nonlinear multidimensional reaction–diffusion equations with parabolic p‐Laplacian properties, which are applicable across a wide range of biological, physical, and chemical contexts. The value of this work lies in its contribution to understanding how interfaces behave under slow diffusion, shedding
Roqia Abdullah Jeli, Oluwole D. Makinde
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Journal of Applied Mathematics, 2014 We prove that a continuous g-supermartingale with uniformly continuous coeffcient g on finite or infinite horizon, is a g-supersolution of the corresponding backward stochastic differential equation. It is a new nonlinear Doob-Meyer decomposition theorem
Xuejun Shi, Long Jiang, Ronglin Ji
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Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, our goal is to prove the existence of a weak solution (in H01Ω) for a fully nonlinear Dirichlet problem with a nonmonotone (e.g., Lipschitz) convection function F that depends on ∇u, and a nonlinearity G that is not necessarily monotone and depends on the solution function u, and the higher order term is −ΔΓ(x, u) − diva(x, u, ∇u ...
Teffera M. Asfaw +3 more
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A dam management problem with energy production as an optimal switching problem
Applied Stochastic Models in Business and Industry, Volume 40, Issue 6, Page 1596-1611, November/December 2024.Abstract We consider an optimal stochastic control problem for a dam. Electrical power production is operating under an uncertain setting for electricity market prices and water level which has to be kept under control. Indeed, the water level inside the basin cannot exceed a certain threshold for safety reasons, and at the same time cannot decrease ...
Etienne Chevalier +4 more
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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 Positive Solutions for Non-Local Magnetic Fractional Systems
Fractal and FractionalIn this paper, the existence of a weak positive solution for non-local magnetic fractional systems is studied in the fractional magnetic Sobolev space through a sub-supersolution method combined with iterative techniques.
Tahar Bouali +3 more
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An elliptic system with logarithmic nonlinearity
Advances in Nonlinear Analysis, 2017 In the present paper, we study the existence of solutions for some classes of singular systems involving the Δp(x){\Delta_{p(x)}} and Δq(x){\Delta_{q(x)}} Laplacian operators. The approach is based on bifurcation theory and the sub-supersolution method
Alves Claudianor +2 more
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Traveling fronts of pyramidal shapes in competition-diffusion systems
Networks and Heterogeneous Media, 2013 It is well known that a competition-diffusion system hasa one-dimensional traveling front.This paper studies traveling front solutions of pyramidal shapesin a competition-diffusion system in $\mathbb{R}^N$ with $N\geq 2$.By using a multi-scale method,we ...
Wei-Ming Ni, Masaharu Taniguchi
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