Simulating accurate and effective solutions of some nonlinear nonlocal two-point BVPs: Clique and QLM-clique matrix methods. [PDF]
Izadi M, Singh J, Noeiaghdam S.
europepmc +1 more source
Diffusive logistic equations with harvesting and heterogeneity under strong growth rate
We consider the ...
Shabani Rokn-e-vafa Saeed +1 more
doaj +1 more source
Ground state solution of a nonlocal boundary-value problem
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
Weak Galerkin finite element method for second order problems on curvilinear polytopal meshes with Lipschitz continuous edges or faces. [PDF]
Guan Q, Queisser G, Zhao W.
europepmc +1 more source
Green function estimates on complements of low-dimensional uniformly rectifiable sets. [PDF]
David G, Feneuil J, Mayboroda S.
europepmc +1 more source
In this paper, we study the regularizing effect of lower order terms in elliptic problems involving a Hardy potential.
Arcoya David +2 more
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Existence of entropy solutions for nonlinear elliptic degenerate anisotropic equations
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
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The trace space of anisotropic least gradient functions depends on the anisotropy. [PDF]
Górny W.
europepmc +1 more source
Doubly Critical Problems Involving Fractional Laplacians in ℝN
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
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The Neumann function and the L p Neumann problem in chord-arc domains
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
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