Results 61 to 70 of about 1,349 (111)
On the absence of solutions of differential inequalities with $\infty$-Laplacian [PDF]
arXiv, 2022 For differential inequalities with the $\infty$-Laplacian in the principal part, we obtain conditions for the absence of solutions in unbounded domains. Examples are given to demonstrate the accuracy of these conditions.
arxiv
A non-local perturbation of the logistic equation in IR N [PDF]
, 2019 A logistic equation in the whole space is considered. In this problem, a non-local perturbation is included. We establish a new sub-supersolution method forgeneral nonlocal elliptic equations and, consequently, we obtain the existence ofpositive ...
Delgado Delgado, Manuel +3 more
core
Advances in Nonlinear AnalysisLet Ω⊂Rn\Omega \subset {{\bf{R}}}^{n} be a smooth bounded domain. In this article, we prove a result of which the following is a by-product: Let q∈]0,1[q\in ]0,1{[}, α∈L∞(Ω)\alpha \in {L}^{\infty }\left(\Omega ), with α>0\alpha \gt 0, and k∈Nk\in {\bf{N}}
Ricceri Biagio
doaj +1 more source
Advances in Nonlinear Analysis, 2014 In this paper, for more general f, g and a, b, we obtain conditions about the existence and boundary behavior of solutions to boundary blow-up elliptic problems ▵u=a(x)g(u)+b(x)f(u)|∇u|q,x∈Ω,u|∂Ω=+∞$ \triangle u=a(x)g(u)+ b(x) f(u)|\nabla u|^q,\quad x\in
Zhang Zhijun
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Advanced Nonlinear Studies, 2020 The aim of this paper is analyzing the positive solutions of the quasilinear ...
López-Gómez Julián, Omari Pierpaolo
doaj +1 more source
A geometrical view of the Nehari manifold
, 2012 We study the Nehari manifold N associated to the boundary value problem −∆u = f(u) , u ∈ H 0 (Ω) , where Ω is a bounded regular domain in Rn. Using elementary tools from Differential Geometry, we provide a local description of N as an hypersurface of the
J. Gomes
semanticscholar +1 more source
Sharp asymptotic expansions of entire large solutions to a class of k-Hessian equations with weights
Advances in Nonlinear AnalysisIt is well-known that it is a quite interesting topic to study the asymptotic expansions of entire large solutions of nonlinear elliptic equations near infinity. But very little is done.
Wan Haitao
doaj +1 more source
Existence for (p, q) critical systems in the Heisenberg group
Advances in Nonlinear Analysis, 2019 This paper deals with the existence of entire nontrivial solutions for critical quasilinear systems (𝓢) in the Heisenberg group ℍn, driven by general (p, q) elliptic operators of Marcellini types.
Pucci Patrizia, Temperini Letizia
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A Uniqueness and Periodicity Result for Solutions of Elliptic Equations in Unbounded Domains [PDF]
arXiv, 2007 We proof a uniqueness and periodicity theorem for bounded solutions of uniformly elliptic equations in certain unbounded domains.
arxiv
Boundary behavior for a singular quasi-linear elliptic equation [PDF]
arXiv, 2012 In a smooth bounded domain we obtain existence, uniqueness, regularity and boundary behavior for a class of singular quasi-linear elliptic equations.
arxiv