Results 21 to 30 of about 3,540 (98)
Regularity results for singular elliptic problems
Journal 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
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Regularity estimates for fractional orthotropic p-Laplacians of mixed order
Advances in Nonlinear Analysis, 2022 We study robust regularity estimates for a class of nonlinear integro-differential operators with anisotropic and singular kernels. In this paper, we prove a Sobolev-type inequality, a weak Harnack inequality, and a local Hölder estimate.
Chaker Jamil, Kim Minhyun
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Nonanalytic solutions of the KdV equation
Abstract and Applied Analysis, Volume 2004, Issue 6, Page 453-460, 2004., 2004 We construct nonanalytic solutions to the initial value problem for the KdV equation with analytic initial data in both the periodic and the nonperiodic cases.
Peter Byers, A. Alexandrou Himonas
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Which solutions of the third problem for the Poisson equation are bounded?
Abstract and Applied Analysis, Volume 2004, Issue 6, Page 501-510, 2004., 2004 This paper deals with the problem Δu = g on G and ∂u/∂n + uf = L on ∂G. Here, G ⊂ ℝm, m > 2, is a bounded domain with Lyapunov boundary, f is a bounded nonnegative function on the boundary of G, L is a bounded linear functional on W1,2(G) representable by a real measure μ on the boundary of G, and g ∈ L2(G)∩Lp(G), p > m/2.
Dagmar Medková
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New Results About the Lambda Constant and Ground States of the 𝑊-Functional
Advanced Nonlinear Studies, 2020 In this paper, we study properties of the lambda constants and the existence of ground states of Perelman’s famous W-functional from a variational formulation. We have two kinds of results.
Ma Li
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A type of bounded traveling wave solutions for the Fornberg-Whitham equation [PDF]
, 2008 In this paper, by using bifurcation method, we successfully find the Fornberg-Whitham equation has a type of traveling wave solutions called kink-like wave solutions and antikinklike wave solutions.
Tian, Lixin, Zhou, Jiangbo
core +2 more sources
Coefficients of singularities of the biharmonic problem of Neumann type: case of the crack
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 5, Page 305-313, 2003., 2003 This paper concerns the biharmonic problem of Neumann type in a sector V. We give a representation of the solution u of the problem in a form of a series u = ∑α∈ECα rα ϕα, and the functions ϕα are solutions of an auxiliary problem obtained by the separation of variables.
Wided Chikouche, Aissa Aibèche
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The Brezis–Nirenberg problem for nonlocal systems
Advances in Nonlinear Analysis, 2016 By means of variational methods we investigate existence, nonexistence as well as regularity of weak solutions for a system of nonlocal equations involving the fractional laplacian operator and with nonlinearity reaching the critical growth and ...
Faria Luiz F. O. +4 more
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Integrodifferential equations with analytic semigroups
International Journal of Stochastic Analysis, Volume 16, Issue 2, Page 177-189, 2003., 2003 In this paper we study a class of integrodifferential equations considered in an arbitrary Banach space. Using the theory of analytic semigroups we establish the existence, uniqueness, regularity and continuation of solutions to these integrodifferential equations.
D. Bahuguna
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Partial regularity of stable solutions to the fractional Geľfand-Liouville equation
Advances in Nonlinear Analysis, 2021 We analyze stable weak solutions to the fractional Geľfand ...
Hyder Ali, Yang Wen
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