Results 91 to 100 of about 1,398 (233)
On the confinement of bounded entire solutions to a class of semilinear elliptic systems
, 2014 Under appropriate assumptions, we show that all bounded entire solutions to a class of semilinear elliptic systems are confined in a convex domain. Moreover, we prove a Liouville type theorem in the case where the domain is strictly convex.
Sourdis, Christos, Christos Sourdis
core
, 2021 Given a conformally transversally anisotropic manifold $(M,g)$, we consider the semilinear elliptic equation $$(-\Delta_{g}+V)u+qu^2=0\quad \text{on $M$}.$$ We show that an a priori unknown smooth function $q$ can be uniquely determined from the ...
Liimatainen, Tony +2 more
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An Adaptive Multigrid Method for Semilinear Elliptic Equations
East Asian Journal on Applied Mathematics, 2019 Summary: An adaptive multigrid method for semilinear elliptic equations based on adaptive multigrid methods and on multilevel correction methods is developed. The solution of a semilinear problem is reduced to a series of linearised elliptic equations on the sequence of adaptive finite element spaces and semilinear elliptic problems on a very low ...
Xu, Fei +3 more
openaire +2 more sources
On the wave turbulence theory of 2D gravity waves, I: Deterministic energy estimates
Communications on Pure and Applied Mathematics, Volume 78, Issue 2, Page 211-322, February 2025.Abstract Our goal in this paper is to initiate the rigorous investigation of wave turbulence and derivation of wave kinetic equations (WKEs) for water waves models. This problem has received intense attention in recent years in the context of semilinear models, such as Schrödinger equations or multidimensional KdV‐type equations. However, our situation
Yu Deng +2 more
wiley +1 more source
An Improved Fountain Theorem and Its Application
Advanced Nonlinear Studies, 2017 The main aim of the paper is to prove a fountain theorem without assuming the τ-upper semi-continuity condition on the variational functional. Using this improved fountain theorem, we may deal with more general strongly indefinite elliptic problems with ...
Gu Long-Jiang, Zhou Huan-Song
doaj +1 more source
Taxas de decaimento para a energia associada a um sistema semilinear de ondas elásticas em Rn com potencial do tipo dissipativo [PDF]
, 2013 Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas. Programa de Pós-Graduação em Matemática Pura e Aplicada, Florianópolis, 2013Neste trabalho estuda-se a existência e a unicidade de soluções globais
Horbach, Jaqueline Luiza
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Hermite solution for a new fractional inverse differential problem
Mathematical Methods in the Applied Sciences, Volume 48, Issue 3, Page 3811-3824, February 2025.Mathematics, mathematical modeling of real systems, and mathematical and computer methodologies aimed at the qualitative and quantitative study of real physical systems interact in a nontrivial way. This work aims to examine a new class of inverse problems for a fractional partial differential equation with order fractional 0<ρ≤1$$ 0<\rho \le 1 ...
Mohammed Elamine Beroudj +2 more
wiley +1 more source
Electronic Journal of Differential Equations, 2001 In this paper we prove an approximate controllability result for an abstract semilinear evolution equation in a Hilbert space and we obtain as consequences the approximate controllability for some classes of elliptic and parabolic problems subjected to ...
Ioan Bejenaru +2 more
doaj
Studies in Applied Mathematics, Volume 154, Issue 2, February 2025.ABSTRACT We study a class of zero‐flux attraction–repulsion chemotaxis models, characterized by nonlinearities laws for the diffusion of the cell density u$u$, the chemosensitivities and the production rates of the chemoattractant v$v$ and the chemorepellent w$w$. In addition, a source involving also the gradient of u$u$ is incorporated.
Tongxing Li +3 more
wiley +1 more source
Large solutions of semilinear elliptic equations with nonlinear gradient terms
International Journal of Mathematics and Mathematical Sciences, 1999 We show that large positive solutions exist for the equation (P±):Δu±|∇u|q=p(x)uγ in Ω⫅RN(N≥3) for appropriate choices of γ>1,q>0 in which the domain Ω is either bounded or equal to RN.
Alan V. Lair, Aihua W. Wood
doaj +1 more source