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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Simulating accurate and effective solutions of some nonlinear nonlocal two-point BVPs: Clique and QLM-clique matrix methods. [PDF]
Heliyon, 2023 Izadi M, Singh J, Noeiaghdam S.
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Ground state solution of a nonlocal boundary-value problem
, 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
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Some remarks on sign changing solutions of a quasilinear elliptic equation in two variables [PDF]
, 2012 We consider planar solutions to certain quasilinear elliptic equations subject to the Dirichlet boundary conditions; the boundary data is assumed to have finite number of relative maximum and minimum values.
Granlund, Seppo, Marola, Niko
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An elliptic equation with an indefinite sublinear boundary condition
Advances in Nonlinear Analysis, 2016 We investigate the ...
Ramos Quoirin Humberto, Umezu Kenichiro
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Weak Galerkin finite element method for second order problems on curvilinear polytopal meshes with Lipschitz continuous edges or faces. [PDF]
Comput Math Appl, 2023 Guan Q, Queisser G, Zhao W.
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Advanced 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
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Green function estimates on complements of low-dimensional uniformly rectifiable sets. [PDF]
Math Ann, 2023 David G, Feneuil J, Mayboroda S.
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The trace space of anisotropic least gradient functions depends on the anisotropy. [PDF]
Math Ann, 2023 Górny W.
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The Neumann function and the L p Neumann problem in chord-arc domains
Advanced Nonlinear StudiesWe 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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