Results 21 to 30 of about 1,917 (133)

Existence of a Solution for a Variational Inequality Associated with the Maxwell-Stokes Type Problem and the Continuous Dependence of the Solution on the Data

open access: yes, 2020
In this paper, we prove the existence of a solution for a variational inequality associated with the Maxwell-Stokes type equation in a bounded multiply connected domain with holes.
J. Aramaki
semanticscholar   +1 more source

Regularity results for singular elliptic problems

open access: yesJournal of Function Spaces, Volume 4, Issue 3, Page 243-259, 2006., 2006
Some local and global regularity results for solutions of linear elliptic equations in weighted spaces are proved. Here the leading coefficients are VMO functions, while the hypotheses on the other coefficients and the boundary conditions involve a suitable weight function.
Loredana Caso, Miroslav Englis
wiley   +1 more source

On two-dimensional nonlocal Venttsel' problems in piecewise smooth domains [PDF]

open access: yes, 2019
We establish the regularity results for solutions of nonlocal Venttsel' problems in polygonal and piecewise smooth two-dimensional ...
Creo, Simone   +3 more
core   +1 more source

Fractional differential operators in vector-valued spaces and applications

open access: yes, 2020
Fractional differential operator equations with parameter are studied. Uniform Lp separability properties and sharp resolvent estimates are obtained for elliptic equations in terms of fractional derivatives. Moreover, maximal regularity properties of the
V. Shakhmurov
semanticscholar   +1 more source

Stagnation zones of ideal flows in long and narrow bands

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 62, Page 3339-3356, 2004., 2004
We investigate stagnation zones of flows of ideal incompressible fluid in narrow and long bands. With the bandwidth being much less than its length, these flows are almost stationary over large subdomains, where their potential functions are almost constant. These subdomains are called s‐zones. We estimate the size and the location of these s‐zones.
V. M. Miklyukov   +2 more
wiley   +1 more source

The Poisson equation in homogeneous Sobolev spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 36, Page 1909-1921, 2004., 2004
We consider Poisson′s equation in an n‐dimensional exterior domain G(n ≥ 2) with a sufficiently smooth boundary. We prove that for external forces and boundary values given in certain Lq(G)‐spaces there exists a solution in the homogeneous Sobolev space S2,q(G), containing functions being local in Lq(G) and having second‐order derivatives in Lq(G ...
Tatiana Samrowski, Werner Varnhorn
wiley   +1 more source

On a weighted elliptic equation of N-Kirchhoff type with double exponential growth

open access: yesDemonstratio Mathematica, 2022
In this work, we study the weighted Kirchhoff problem −g∫Bσ(x)∣∇u∣Ndxdiv(σ(x)∣∇u∣N−2∇u)=f(x,u)inB,u>0inB,u=0on∂B,\left\{\begin{array}{ll}-g\left(\mathop{\displaystyle \int }\limits_{B}\sigma \left(x)| \nabla u\hspace{-0.25em}{| }^{N}{\rm{d}}x\right){\rm ...
Abid Imed, Baraket Sami, Jaidane Rached
doaj   +1 more source

An optimal bound for nonlinear eigenvalues and torsional rigidity on domains with holes

open access: yes, 2020
In this paper we prove an optimal upper bound for the first eigenvalue of a Robin-Neumann boundary value problem for the p-Laplacian operator in domains with convex holes.
Della Pietra, Francesco   +1 more
core   +1 more source

A Variational Approach for the Neumann Problem in Some FLRW Spacetimes

open access: yesAdvanced Nonlinear Studies, 2019
In this paper, we study, using critical point theory for strongly indefinite functionals, the Neumann problem associated to some prescribed mean curvature problems in a FLRW spacetime with one spatial dimension.
Bereanu Cristian, Torres Pedro J.
doaj   +1 more source

On some classes of generalized Schrödinger equations

open access: yesAdvances in Nonlinear Analysis, 2020
Some classes of generalized Schrödinger stationary problems are studied. Under appropriated conditions is proved the existence of at least 1 + ∑i=2m$\begin{array}{} \sum_{i=2}^{m} \end{array}$ dim Vλi pairs of nontrivial solutions if a parameter involved
Correa Leão Amanda S. S.   +3 more
doaj   +1 more source

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