Results 71 to 80 of about 6,453 (213)
Communications on Pure and Applied Mathematics, Volume 78, Issue 3, Page 545-591, March 2025.Abstract While there are numerous results on minimizers or stable solutions of the Bernoulli problem proving regularity of the free boundary and analyzing singularities, much less is known about critical points of the corresponding energy. Saddle points of the energy (or of closely related energies) and solutions of the corresponding time‐dependent ...
Dennis Kriventsov, Georg S. Weiss
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Viscosity solutions to parabolic complex Monge-Amp\`ere equations
, 2019 In this paper, we study the Cauchy-Dirichlet problem for Parabolic complex Monge-Amp\`ere equations on a strongly pseudoconvex domain by the viscosity method. We extend the results in [EGZ15b] on the existence of solution and the convergence at infinity.
Do, Hoang-Son, Le, Giang, Tô, Tat Dat
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A nonlinear characterization of stochastic completeness of graphs
Mathematische Nachrichten, Volume 298, Issue 3, Page 925-943, March 2025.Abstract We study nonlinear Schrödinger operators on graphs. We construct minimal nonnegative solutions to corresponding semilinear elliptic equations and use them to introduce the notion of stochastic completeness at infinity in a nonlinear setting. We provide characterizations for this property in terms of a semilinear Liouville theorem.
Marcel Schmidt, Ian Zimmermann
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Sharp Liouville results for fully nonlinear equations with power-growth nonlinearities [PDF]
, 2010 We study fully nonlinear elliptic equations such as \[ F(D^2u) = u^p, \quad p>1, \] in $\R^n$ or in exterior domains, where $F$ is any uniformly elliptic, positively homogeneous operator.
Armstrong, Scott N., Sirakov, Boyan
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Optimal consumption problem in the Vasicek model [PDF]
Opuscula Mathematica, 2015 We consider the problem of an optimal consumption strategy on the infinite time horizon based on the hyperbolic absolute risk aversion utility when the interest rate is an Ornstein-Uhlenbeck process.
Jakub Trybuła
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Asymptotic growth rate of solutions to level‐set forced mean curvature flows with evolving spirals
Bulletin of the London Mathematical Society, Volume 57, Issue 3, Page 748-770, March 2025.Abstract Here, we study a level‐set forced mean curvature flow with evolving spirals and the homogeneous Neumann boundary condition, which appears in a crystal growth model. Under some appropriate conditions on the forcing term, we prove that the solution is globally Lipschitz.
Hiroyoshi Mitake, Hung V. Tran
wiley +1 more source
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
Minimal supersolutions of BSDEs under volatility uncertainty
Stochastic Processes and their Applications, 2015 We study the existence of minimal supersolutions of BSDEs under a family of mutually singular probability measures. We consider generators that are jointly lower semicontinuous, positive, and either convex in the control variable and monotone in the value variable, or that fulfill a specific normalization property.
Drapeau, Samuel +2 more
openaire +3 more sources
Swin2‐MoSE: A new single image supersolution model for remote sensing
IET Image Processing, Volume 19, Issue 1, January/December 2025.In this paper, we propose Swin2‐MoSE model, an enhanced version of Swin2SR, for Remote‐Sensing Single‐Image Super‐Resolution. Our model introduces MoE‐SM, an enhanced Mixture‐of‐Experts (MoE) to replace the Feed‐Forward inside all Transformer block. MoE‐SM is designed with Smart‐Merger, and new layer for merging the output of individual experts, and ...
Leonardo Rossi +4 more
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
doaj