Results 41 to 50 of about 649 (62)
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
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Normalized solutions for Sobolev critical fractional Schrödinger equation
Advances in Nonlinear AnalysisIn the present study, we investigate the existence of the normalized solutions to Sobolev critical fractional Schrödinger equation: (−Δ)su+λu=f(u)+∣u∣2s*−2u,inRN,(Pm)∫RN∣u∣2dx=m2,\hspace{14em}\left\{\begin{array}{ll}{\left(-\Delta )}^{s}u+\lambda u=f ...
Li Quanqing +3 more
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Strong Maximum Principle for Some Quasilinear Dirichlet Problems Having Natural Growth Terms
Advanced Nonlinear Studies, 2020 In this paper, dedicated to Laurent Veron, we prove that the Strong Maximum Principle holds for solutions of some quasilinear elliptic equations having lower order terms with quadratic growth with respect to the gradient of the solution.
Boccardo Lucio, Orsina Luigi
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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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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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Accretivity and form boundedness of second order differential operators
, 2019 Let $\mathcal{L}$ be the general second order differential operator with complex-valued distributional coefficients $A=(a_{jk})_{j, k=1}^n$, $\vec{b}=(b_{j})_{j=1}^n$, and $c$ in an open set $\Omega \subseteq \mathbb{R}^n$ ($n \ge 1$), with principal ...
Maz'ya, V. G., Verbitsky, I. E.
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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
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The Gelfand problem for the 1-homogeneous p-Laplacian
Advances in Nonlinear Analysis, 2017 In this paper, we study the existence of viscosity solutions to the Gelfand problem for the 1-homogeneous p-Laplacian in a bounded domain Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}}, that is, we deal ...
Carmona Tapia José +2 more
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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
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Nonlinear elliptic unilateral problems with measure data in the anisotropic Sobolev space
Nonautonomous Dynamical SystemsIn this article, we consider a nonlinear elliptic unilateral equation whose model is −∑i=1N∂iσi(x,u,∇u)+L(x,u,∇u)+N(x,u,∇u)=μ−divϕ(u)inΩ.-\mathop{\sum }\limits_{i=1}^{N}{\partial }^{i}{\sigma }_{i}\left(x,u,\nabla u)+L\left(x,u,\nabla u)+N\left(x,u ...
Bouzelmate Arij +2 more
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