Results 31 to 40 of about 232 (181)
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
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Qualitative properties of bounded subsolutions of nonlinear PDEs [PDF]
Journal de Mathématiques Pures et Appliquées, 2020 29 pages.
Bianchi D., Pigola S., Setti A. G.
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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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Convexity of average operators for subsolutions to subelliptic equations [PDF]
Analysis & PDE, 2014 We study convexity properties of the average integral operators naturally associated with divergence-form second-order subelliptic operators ℒ with nonnegative characteristic form. When ℒ is the classical Laplace operator, these average operators are the usual average integrals over Euclidean spheres.
BONFIGLIOLI, ANDREA +2 more
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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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Subsolutions: a journey from positone to infinite semipositone problems
Electronic Journal of Differential Equations, 2009 Summary: We discuss the existence of positive solutions to \(-\Delta u=\lambda f(u)\) in \(\Omega\), with \(u=0\) on the boundary, where \(\lambda\) is a positive parameter, \(\Omega\) is a bounded domain with smooth boundary \(\Delta \) is the Laplacian operator, and \(f:(0,\infty)\to\mathbb R\) is a continuous function.
Eun Kyoung Lee +2 more
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A priori bounds for the generalised parabolic Anderson model
Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1315-1394, May 2026.Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra +2 more
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Convexity of level sets for solutions to nonlinear elliptic problems in convex rings
Electronic Journal of Differential Equations, 2006 We find suitable assumptions for the quasi-concave envelope $u^*$ of a solution (or a subsolution) $u$ of an elliptic equation $F(x,u, abla u,D^2u)=0$ (possibly fully nonlinear) to be a viscosity subsolution of the same equation.
Paola Cuoghi, Paolo Salani
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On the Fatou theorem for d_J-bar subsolutions in wedges
, 2022 arXiv admin note: text overlap with arXiv:1808.04266, arXiv:1807 ...
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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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