Results 31 to 40 of about 186 (147)

Qualitative properties of solutions to parabolic anisotropic equations, part II — The anisotropic Trudinger's equation

open access: yesJournal 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

Super and subsolutions for elliptic equations on all of ℝn

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
By construction sub and supersolutions for the following semilinear elliptic equation −△u(x)=λg(x)f(u(x)), x∈ℝn which arises in population genetics, we derive some results about the theory of existence of solutions as well as asymptotic properties of the
G. A. Afrouzi, H. Ghasemzadeh
doaj   +1 more source

Spreading Speed for a Vector‐Borne Disease System on Non‐Coincident Straight Infinite Cylinders

open access: yesStudies 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
wiley   +1 more source

Existence results for fractional Fisher-Kolmogoroff steady state problem

open access: yesEuropean 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  

Multiplicity of nonnegative solutions for semilinear Robin problems involving sign‐changing nonlinearities

open access: yesBulletin 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
wiley   +1 more source

Discontinuous Variational-Hemivariational Inequalities Involving the -Laplacian

open access: yesJournal of Inequalities and Applications, 2007
We deal with discontinuous quasilinear elliptic variational-hemivariational inequalities. By using the method of sub- and supersolutions and based on the results of S. Carl, we extend the theory for discontinuous problems.
Winkert Patrick
doaj  

Existence of viscosity solutions to abstract Cauchy problems via nonlinear semigroups

open access: yesBulletin 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
wiley   +1 more source

Relationship between solutions to a quasilinear elliptic equation in Orlicz spaces

open access: yesElectronic Journal of Differential Equations, 2014
In this article, we consider three types of solutions in Orlicz spaces for the quasilinear elliptic problem $$ -\hbox{div}(a(|\nabla u|)\nabla u)=0.
Fei Fang, Zheng Zhou
doaj  

Limits of cubic differentials and buildings

open access: yesProceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract In the Labourie–Loftin parameterization of the Hitchin component of surface group representations into SL(3,R)$\mathrm{SL}(3,\mathbb {R})$, we prove an asymptotic formula for holonomy along rays in terms of local invariants of the holomorphic differential defining that ray.
John Loftin   +2 more
wiley   +1 more source

Optimal dividends for a NatCat insurer in the presence of a climate tipping point

open access: yesCanadian Journal of Statistics, Volume 54, Issue 1, March 2026.
Abstract We study optimal dividend strategies for an insurance company facing natural catastrophe claims, anticipating the arrival of a climate tipping point after which the claim intensity and/or the claim size distribution of the underlying risks deteriorates irreversibly.
Hansjörg Albrecher   +2 more
wiley   +1 more source

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