Results 41 to 50 of about 151 (130)

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

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, Antonio J. Martínez Aparicio, Pedro J. Martínez‐Aparicio   +2 more
wiley   +1 more source

Asymptotic behavior of positive large solutions of semilinear Dirichlet problems

Electronic Journal of Qualitative Theory of Differential Equations, 2013
Let $\Omega $ be a smooth bounded domain in $\mathbb{R}^{n},\ n\geq 2$. This paper deals with the existence and the asymptotic behavior of positive solutions of the following problems \begin{equation*} \Delta u=a(x)u^{\alpha },\alpha >1\text{ and }\Delta
Habib Maagli, Sonia Ben Othman, Rym Chemmam   +2 more
doaj   +1 more source

The existence of infinitely many boundary blow-up solutions to the p-k-Hessian equation

Advanced Nonlinear Studies, 2023
The primary objective of this article is to analyze the existence of infinitely many radial pp-kk-convex solutions to the boundary blow-up pp-kk-Hessian problem σk(λ(Di(∣Du∣p−2Dju)))=H(∣x∣)f(u)inΩ,u=+∞on∂Ω.{\sigma }_{k}\left(\lambda \left({D}_{i}\left({|
Feng Meiqiang, Zhang Xuemei
doaj   +1 more source

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
wiley   +1 more source

Limits of cubic differentials and buildings

Proceedings 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, Andrea Tamburelli, Michael Wolf   +2 more
wiley   +1 more source

Fractional double-phase nonlocal equation in Musielak-Orlicz Sobolev space

Boundary Value Problems
In this paper, we analyze the existence of solutions to a double-phase fractional equation of the Kirchhoff type in Musielak-Orlicz Sobolev space with variable exponents.
Tahar Bouali, Rafik Guefaifia, Salah Boulaaras   +2 more
doaj   +1 more source

On the sub-supersolution method for \(p(x)\)-Laplacian equations

Journal of Mathematical Analysis and Applications, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Regularity Properties of Solutions of a Model for Morphoelastic Growth in the Presence of Nutrients in One Spatial Dimension

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.
ABSTRACT Regularity properties of solutions for a class of quasi‐stationary models in one spatial dimension for stress‐modulated growth in the presence of a nutrient field are proven. At a given point in time the configuration of a body after pure growth is determined by means of a family of ordinary differential equations in every point in space ...
Julian Blawid, Georg Dolzmann
wiley   +1 more source

Positive Solutions of a General Discrete Dirichlet Boundary Value Problem

Discrete Dynamics in Nature and Society, 2016
A steady state equation of the discrete heat diffusion can be obtained by the heat diffusion of particles or the difference method of the elliptic equations.
Xinfu Li, Guang Zhang
doaj   +1 more source

Liouville properties for differential inequalities with (p,q)$(p,q)$ Laplacian operator

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract In this paper, we establish several Liouville‐type theorems for a class of nonhomogenenous quasilinear inequalities. In the first part, we prove various Liouville results associated with nonnegative solutions to Ps$P_s$ −Δpu−Δqu⩾us−1inΩ,$$\begin{equation} -\Delta _p u-\Delta _q u\geqslant u^{s-1} \, \text{ in }\, \Omega, \end{equation}$$where ...
Mousomi Bhakta, Anup Biswas, Roberta Filippucci   +2 more
wiley   +1 more source