Results 31 to 40 of about 153 (146)
The Sub-Supersolution Method and Extremal Solutions of Quasilinear Elliptic Equations in Orlicz-Sobolev Spaces [PDF]
Journal of Function Spaces, 2018 We prove the existence of extremal solutions of the following quasilinear elliptic problem -∑i=1N∂/∂xiai(x,u(x),Du(x))+g(x,u(x),Du(x))=0 under Dirichlet boundary condition in Orlicz-Sobolev spaces W01LM(Ω) and give the enclosure of solutions. The differential part is driven by a Leray-Lions operator in Orlicz-Sobolev spaces, while the nonlinear term g ...
Ge Dong, Xiaochun Fang
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Existence results for fractional Fisher-Kolmogoroff steady state problem
European Journal of Mathematics and Applications, 2023 In the present paper, we study the existence results of positive weak solution for the fractional Fisher-Kolmogoroff steady state problem. We establish a condition under which the system under consideration has a positive weak solution. Also, we consider
Salah A. Khafagy +2 more
doaj
Equilibrium Reward for Liquidity Providers in Automated Market Makers
Mathematical Finance, EarlyView.ABSTRACT We find the equilibrium contract that an automated market maker (AMM) offers to their strategic liquidity providers (LPs) in order to maximize the order flow that gets processed by the venue. Our model is formulated as a leader–follower stochastic game, where the venue is the leader and a representative LP is the follower.
Alif Aqsha +2 more
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Solutions to an anisotropic system via sub-supersolution method and Mountain Pass Theorem
Electronic Journal of Qualitative Theory of Differential Equations, 2019 Summary: We use sub-supersolution method and Mountain Pass Theorem in order to show existence and multiplicity of solution for quasilinear system given by \[-\Big[\displaystyle\sum^{N}_{i=1}\frac{\partial}{\partial x_{i}}\Big \vert \frac{\partial u}{\partial x_{i}} \Big\vert^{p_{i}-2}\frac{\partial u}{\partial x_{i}}\Big] = a_{1}(x)u+ F_{u}(x,u,v) \,\,\
Figueiredo, Giovany, Silva, Julio
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Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract We study the local regularity properties of weak solutions to a special class of anisotropic doubly nonlinear parabolic operators, whose prototype is the anisotropic Trudinger's equation ut−∑i=1NDiu2−pi|Diu|pi−2Diu=0,u⩾0.$$\begin{equation*} u_t- \sum \limits _{i=1}^N D_i{\left(u^{2-p_i}|D_i u|^{p_i-2} D_i u\right)}=0,\qquad u\geqslant 0.
S. Ciani +3 more
wiley +1 more source
Spreading Speed for a Vector‐Borne Disease System on Non‐Coincident Straight Infinite Cylinders
Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.ABSTRACT Vector‐borne diseases remain an increasing global public health concern. In this work, we investigate the spreading speed of vector‐borne disease via a four‐component reaction–diffusion system posed on non‐coincident straight infinite cylinders, which stands for an unconventional spatial configuration.
Arnaud Ducrot +2 more
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Comparison and sub-supersolution principles for the fractional p(x)-Laplacian
Journal of Mathematical Analysis and Applications, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract In this article, we investigate the existence and multiplicity of solutions to the Robin problem −Δu=λf(u)inΩ,∂u∂ν+γu=0on∂Ω,$$\begin{equation*} {\begin{cases} -\Delta u = \lambda f(u) & \text{in } \Omega,\\ \frac{\partial u}{\partial \nu } + \gamma u=0 & \text{on } \partial \Omega, \end{cases}} \end{equation*}$$where Ω⊂RN$\Omega \subset ...
José Carmona Tapia +2 more
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Existence of viscosity solutions to abstract Cauchy problems via nonlinear semigroups
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract In this work, we provide conditions for nonlinear monotone semigroups on locally convex vector lattices to give rise to a generalized notion of viscosity solutions to a related nonlinear partial differential equation. The semigroup needs to satisfy a convexity estimate, so called K$K$‐convexity, with respect to another family of operators ...
Fabian Fuchs, Max Nendel
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A sub-supersolution approach for some classes of nonlocal problems involving Orlicz spaces [PDF]
Journal of Differential Equations, 2019 In the present paper we study the existence of solutions for some nonlocal problems involving Orlicz-Sobolev spaces. The approach is based on sub-supersolutions.
Giovany M. Figueiredo +3 more
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