Results 11 to 20 of about 366 (57)
Non-commutative residue of projections in Boutet de Monvel's calculus [PDF]
arXiv, 2007 Using results by Melo, Nest, Schick, and Schrohe on the K-theory of Boutet de Monvel's calculus of boundary value problems, we show that the non-commutative residue introduced by Fedosov, Golse, Leichtnam, and Schrohe vanishes on projections in the ...
Gaarde, Anders
core +1 more source
Advances in Nonlinear Analysis, 2023 In this article, we study the following general Kirchhoff type equation: −M∫R3∣∇u∣2dxΔu+u=a(x)f(u)inR3,-M\left(\mathop{\int }\limits_{{{\mathbb{R}}}^{3}}| \nabla u{| }^{2}{\rm{d}}x\right)\Delta u+u=a\left(x)f\left(u)\hspace{1em}{\rm{in}}\hspace{0.33em}{{\
Zhang Jian, Liu Huize, Zuo Jiabin
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General boundary value problems for pseudo-differential equations and related difference equations
Advances in Differential Equations, 2013 The author develops the theory of pseudo-differential equations and boundary value problems in non-smooth domains. A model pseudo-differential equation in a canonical flat domain is reduced to a system of linear difference equations.MSC:35S15, 39A05.
V. Vasilyev
semanticscholar +2 more sources
Fractional double phase Robin problem involving variable order-exponents and Logarithm-type nonlinearity [PDF]
, 2022 In this paper, we study the existence of solutions for the new fractinal Robin equations with variable exponents. Moreover, we deal with the logarithm-type nonlinearity. In particular, we consider two cases: critical and subcritical cases.
arxiv +1 more source
Infinitely many solutions for non-local problems with broken symmetry
Advances in Nonlinear Analysis, 2018 The aim of this paper is to investigate the existence of solutions of the non-local elliptic ...
Bartolo Rossella +2 more
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Time-fractional diffusion equation with dynamical boundary condition
, 2016 We establish the unique solvability in Hölder spaces for an initial-boundary problem for fractional diffusion equation with fractional dynamic boundary condition. Mathematics subject classification (2010): 35S15.
M. Krasnoschok
semanticscholar +1 more source
Some remarks about the summability of nonlocal nonlinear problems
Advances in Nonlinear Analysis, 2015 In this note, we will study the problem (-Δ)psu = f(x) on Ω, u = 0 in ℝN∖Ω, where 0 < s < 1, (-Δ)ps is the nonlocal p-Laplacian defined below, Ω is a smooth bounded domain. The main point studied in this work is to prove, adapting the techniques used in [
Barrios Begoña +2 more
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A symbolic calculus for layer potentials on ¹ curves and ¹ curvilinear polygons
, 1991 A symbolic calculus for some algebras of Mellin operators on the finite interval J _ [0, 11 is developed. The algebras are ample enough to include singular integral operators and analytic double layer potentials and their adjoints on C1 curves and ...
J. E. Lewis
semanticscholar +1 more source
Very large solutions for the fractional Laplacian: Towards a fractional Keller–Osserman condition
Advances in Nonlinear Analysis, 2017 We look for solutions of (-△)su+f(u)=0{{\left(-\triangle\right)}^{s}u+f(u)=0} in a bounded smooth domain Ω, s∈(0,1){s\in(0,1)}, with a strong singularity at the boundary. In particular, we are interested in solutions which are L1(Ω){L^{1}(\Omega)} and
Abatangelo Nicola
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Abstract parabolic problems in ordered Banach spaces
, 2001 Parabolic Problems in Ordered Banach Spaces Alexandre N. Carvalho* Departamento de Matemática, Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo-Campus de São Carlos, Caixa Postal 668, 13560-970 São Carlos SP, Brazil E-mail ...
A. Carvalho, J. Cholewa, Tomasz Dłotko
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