Results 21 to 30 of about 3,208 (150)
On two-dimensional nonlocal Venttsel' problems in piecewise smooth domains [PDF]
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
EXISTENCE OF MULTIPLE POSITIVE RADIAL SOLUTIONS TO ELLIPTIC EQUATIONS IN AN ANNULUS
In this paper, we use Leggett-Williams multiple fixed point theorems to obtain sufficient conditions for the existence of at least one or two positive radial solutions of the equation −∆u = λg(|x|)f(u), R1 < |x| < R2, x ∈ RN , N ≥ 2 subject to a linear ...
Jaffar Ali, S. Padhi
semanticscholar +1 more source
Fractional differential operators in vector-valued spaces and applications
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
Regularity results for singular elliptic problems
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
A functionally-analytic method for modelling axial-symmetric flows of ideal fluid
We consider axial-symmetric stationary flows of the ideal incompressible fluid as an important case of potential solenoid fields. We use an integral expression of the Stokes flow function via the corresponding complex analytic function for solving a ...
Plaksa Sergiy A.
doaj +1 more source
Capillary Schwarz symmetrization in the half-space
In this article, we introduce a notion of capillary Schwarz symmetrization in the half-space. It can be viewed as the counterpart of the classical Schwarz symmetrization in the framework of capillary problem in the half-space.
Lu Zheng, Xia Chao, Zhang Xuwen
doaj +1 more source
On the location of two blow up points on an annulus for the mean field equation [PDF]
We consider the mean field equation on two-dimensional annular domains, and prove that if $P$ and $Q$ are two blow up points of a blowing-up solution sequence of the equation, then we must have $P=-Q$.Comment: To appear in ...
Grossi, M., Takahashi, F.
core +3 more sources
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
Stagnation zones of ideal flows in long and narrow bands
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
Localization and multiplicity in the homogenization of nonlinear problems
We propose a method for the localization of solutions for a class of nonlinear problems arising in the homogenization theory. The method combines concepts and results from the linear theory of PDEs, linear periodic homogenization theory, and nonlinear ...
Bunoiu Renata, Precup Radu
doaj +1 more source