Results 81 to 90 of about 1,677 (103)

Diffusive logistic equations with harvesting and heterogeneity under strong growth rate

open access: yesAdvances in Nonlinear Analysis, 2017
We consider the ...
Shabani Rokn-e-vafa Saeed   +1 more
doaj   +1 more source

Ground state solution of a nonlocal boundary-value problem

open access: yes, 2013
In this paper, we apply the method of the Nehari manifold to study the Kirchhoff type equation \begin{equation*} -\Big(a+b\int_\Omega|\nabla u|^2dx\Big)\Delta u=f(x,u) \end{equation*} submitted to Dirichlet boundary conditions.
Batkam, Cyril Joel
core   +1 more source

Existence and Regularizing Effect of Degenerate Lower Order Terms in Elliptic Equations Beyond the Hardy Constant

open access: yesAdvanced Nonlinear Studies, 2018
In this paper, we study the regularizing effect of lower order terms in elliptic problems involving a Hardy potential.
Arcoya David   +2 more
doaj   +1 more source

Existence of entropy solutions for nonlinear elliptic degenerate anisotropic equations

open access: yesOpen Mathematics, 2017
In the present article we deal with the Dirichlet problem for a class of degenerate anisotropic elliptic second-order equations with L1-right-hand sides in a bounded domain of ℝn(n ⩾ 2) . This class is described by the presence of a set of exponents q1,…,
Gorban Yuliya
doaj   +1 more source

Doubly Critical Problems Involving Fractional Laplacians in ℝN

open access: yesAdvanced Nonlinear Studies, 2017
In this paper, we show the existence of nontrivial solutions for doubly critical nonlocal elliptic problems in ℝN{\mathbb{R}^{N}} involving fractional Laplacians.
Yang Jianfu, Wu Fengjie
doaj   +1 more source

The Neumann function and the L p Neumann problem in chord-arc domains

open access: yesAdvanced Nonlinear Studies
We construct the Neumann function in a 1-sided chord-arc domain (i.e., a uniform domain with an Ahlfors regular boundary), and establish size and Hölder continuity estimates up to the boundary.
Hofmann Steve, Sparrius Derek
doaj   +1 more source

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