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We consider the obstacle problem for a nonlocal elliptic operator, like the integral fractional Laplacian of order $s \in (0,1)$. We derive regularity results in weighted Sobolev spaces, where the wei...
Abstract: In this paper we study a class of nonlinearities for which a nonlocal parabolic equation with Neumann-Robin boundary conditions, for $p$-Laplacian, has finite time blow-up solutions.
Abstract: The boundary-value problem on semi-axis for one class operator-differential equations of the fourth order, the main part of which has the multiple characteristic is investigated in this pape...
Abstract: In this paper the boundary value problem for one class of the operator-differential equations of the third order on a semi-axis, where one of the boundary conditions is perturbed by some lin...
Abstract: The purpose of this article is to describe a reduction of the slicing problem to the study of the parameter I_1(K,Z_q^o(K))=\int_K ||< :, x> ||_{L_q(K)}dx. We show that an upper bound of the...
We show that Hilbert’s Tenth Problem is undecidable for complementary subrings of number fields and that the p-adic and archimedean ring versions of Mazur’s conjectures do not hold in these rings .
Stefan prob lems rel e vant to burn ing oil-wa ter sys tems are for mu lated. Two mov ing bound ary sub-prob lems are de fined: burn ing liq uid sur face and for ma tion of a dis til la tion (“hot zon...
We propose a new variational problem which we call the Split Variational Inequality Problem (SVIP). It entails finding a solution of one Variational Inequality Problem (VIP), the image of which under ...
In this note, we extend some results in a previous paper on the inverse nodal problem and Ambarzumyan problem for the p-Laplacian to periodic or anti-periodic boundary conditions, and to L1 potentials...
In this paper we develop new applications of variational analysis and generalized differ- entiation to the following optimization problem and its specifications: given n closed subsets of a Banach sp...
This work originates from a heart’s images tracking which is to generate an apparent continuous motion, observable through intensity variation from one starting image to an ending one both supposed se...
In this article we prove the problem on isometric mappings of posed by Th. M. Rassias. We prove that any map , preserving two angles and ( ) is an isometry. With the assumption of continuity we ...
期刊信息 篇名 A solution to an open problem for wave equations with generalized Wentzell boundary conditions 语种 英文 撰写或编译 作者 Ti-Jun Xiao,Jin Liang 第一作者单位 刊物名称 Mathematsche Annalen 页面 Vol. 327, 351-363, 2 出版日...
We study the eigenvalues of the vibrating clamped plate problem. We have made improvements on the bounds of the ratios of the eigenvalues of the biharmonic operator (clamped plate) using the methods o...
The purpose of this paper is to obtain the estimate for the average mean value of the remainder term of the asymptotic formula for the quadratic mean value of the Fourier coefficients of the eigenfunc...

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