Results 31 to 40 of about 179 (164)
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$\Omega \subset ...
José Carmona Tapia +2 more
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Monostable-Type Travelling Wave Solutions of the Diffusive FitzHugh-Nagumo-Type System in 𝐑𝑁
Abstract and Applied Analysis, 2012 This paper is concerned with monostable-type travelling wave solutions of the diffusive FitzHugh-Nagumo-type system (FHN) in 𝐑𝑁 for the two components 𝑢 and 𝑣.
Chih-Chiang Huang
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A priori bounds for the generalised parabolic Anderson model
Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1315-1394, May 2026.Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\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¯$\kappa <
Ajay Chandra +2 more
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On the Fatou theorem for d_J-bar subsolutions in wedges
, 2022 arXiv admin note: text overlap with arXiv:1808.04266, arXiv:1807 ...
openaire +3 more sources
Existence of viscosity solutions to abstract Cauchy problems via nonlinear semigroups
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract In this work, we provide conditions for nonlinear monotone semigroups on locally convex vector lattices to give rise to a generalized notion of viscosity solutions to a related nonlinear partial differential equation. The semigroup needs to satisfy a convexity estimate, so called K$K$‐convexity, with respect to another family of operators ...
Fabian Fuchs, Max Nendel
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Boundary Value ProblemsIn this work, we give a qualitative study on the existence of positive solutions for local and nonlocal elliptic integro-differential quasilinear systems, by using the concept of super- and subsolutions combined with Schauder’s fixed point theorem.
Rafik Guefaifia, Salah Boulaaras
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Abstract and Applied Analysis, 2019 We define and study C1-solutions of the Aronsson equation (AE), a second order quasi linear equation. We show that such super/subsolutions make the Hamiltonian monotone on the trajectories of the closed loop Hamiltonian dynamics. We give a short, general
Pierpaolo Soravia
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The ionic structure of lecithin monolayers
Journal of Lipid Research, 1967 Surface potentials of mixed monolayers of dicetyl phosphate and eicosanyl trimethylammonium bromide (1:1) were the same on subsolutions of 0.02 m NaCl or 0.01 m CaCl2, which indicated that ionic phosphate does not interact with Ca++ in the presence of a ...
Dinesh O. Shah, Jack H. Schulman
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Quasibounded solutions to the complex Monge–Ampère equation
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract We study the Dirichlet problem for the complex Monge–Ampère operator on B‐regular domains in Cn$\mathbb {C}^n$, allowing boundary data that is singular or unbounded. We extend the concept of pluri‐quasibounded functions on the domain to functions on the boundary, defined by the existence of plurisuperharmonic majorants that dominate their ...
Mårten Nilsson
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Existence and nonexistence results for quasilinear semipositone Dirichlet problems
Electronic Journal of Differential Equations, 2009 We use the sub/supersolution method to analyze a semipositone Dirichlet problem for the p-Laplacian. To find a positive solution, we therefore focus on a related problem that produces positive subsolutions.
Matthew Rudd
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