Results 81 to 90 of about 172 (136)

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.
europepmc   +1 more source

Existence and multiplicity of solutions to an ab- stract Cauchy problem for an evolution equation involving fractional dissipation term of Caputo type

The aim of this work is to investigate the existence and multiplicity of solutions to a nonhomogenious quasi-linear second order evolution equation involving a fractional dissipation term of Caputo type in abstract framework.
HALLOUZ, Abdelhamid, GEORGIEV, Svetlin Georgiev, BRAIKI, Hocine Mohamed, HOUARI, Nourredine   +3 more
core   +1 more source

The trace space of anisotropic least gradient functions depends on the anisotropy. [PDF]

Math Ann, 2023
Górny W.
europepmc   +1 more source

Computing the best constant in the Sobolev inequality for a ball

, 2017
Let B1 be the unit ball of R N , N ≥ 2, and let p ? = N p/(N − p) if 1 < p < N and p ? = ∞ if p ≥ N. For each q ∈ [1, p? ) let wq ∈ W1,p 0 (B1) be the positive function such that kwqkLq(B1) = 1 and λq(B1) := min ( k∇uk p Lp(B1) kuk p Lq(B1)
Eder Marinho Martins, Martins, Eder Marinho, Grey Ercole, Júlio César do Espírito Santo, Espírito Santo, Júlio César do, Ercole, Grey   +5 more
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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
doaj   +1 more source

Green function estimates on complements of low-dimensional uniformly rectifiable sets. [PDF]

Math Ann, 2023
David G, Feneuil J, Mayboroda S.
europepmc   +1 more source

Maximum Principle for Linear Second Order Elliptic Equations in Divergence Form

, 2003
[Fabricant A.; Фабрикант А.]; [Kutev N.; Кутев Н.]; [Rangelov T.; Рангелов Т.]The maximum principle for linear second-order elliptic equations in divergence form is investigated.
Fabricant, A., Kutev, N., Rangelov, T.
core  

Theory and Numerics for a Semilinear Elliptic PDE, with an Application in the Theory of Pseudoplastic Fluids [PDF]

, 1996
In this work we provide a survey of the existence, uniqueness, and analyticity of the solutions for the problem \Deltau + p(x)u \Gammafl = 0; x 2\Omega ` R n ; n 1: We establish numerical solutions in one- and two-dimensional bounded regions using ...
Van Emden Henson, Aihua W. Shaker, Henson, Van Emden, Shaker, Aihua W.   +3 more
core  

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

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, Molino Alexis, Moreno-Mérida Lourdes   +2 more
doaj   +1 more source

Pseudo-Differential Operators in a Wave Diffraction Problem with Impedance Conditions [PDF]

, 2008
Mathematics Subject Classification: 35J05, 35J25, 35C15, 47H50, 47G30We consider an impedance boundary-value problem for the Helmholtz equation which models a wave diffraction problem with imperfect conductivity on a strip. Pseudo-differential operators
Kapanadze, D., Castro, L.P.
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