Results 101 to 110 of about 26,670 (302)

Infinitely many solutions to the Dirichlet problem for quasilinear elliptic systems

Le Matematiche, 2005
In this paper we deal with the existence of weak solutions for some Dirichlet problem.The existence of solutions is proved by applying a critical point variational principle obtained by B. Ricceri as consequence of a more general variational principle.
Antonio Giuseppe Di Falco
doaj  

Exit Problems as the Generalized Solutions of Dirichlet Problems

SIAM Journal on Control and Optimization, 2019
23 ...
Yuecai Han, Qingshuo Song, Gu Wang 0002
openaire   +2 more sources

Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang, Calogero Vetro, Tianqing An   +2 more
wiley   +1 more source

The inhomogeneous fractional Dirichlet problem

Grube F. The inhomogeneous fractional Dirichlet problem. 2025.We study boundary regularity for the inhomogeneous Dirichlet problem for $2s$-stable operators in generalized Hölder spaces.
Grube, Florian ; https://orcid.org/
core   +1 more source

On the Dirichlet problem on Lorentz and Orlicz spaces with applications to Schwarz–Christoffel domains

, 2018
It is known (see [14]) that, for every Lipschitz domain on the plane Ω = {x + iy : y > ν(x)}, with ν a real valued Lipschitz function, there exists 1 ≤ p0 1, the result is false for every p ≤ p0.
Ortiz Caraballo, Carmen, María J. Carro, Carmen Ortiz-Caraballo, Carro Rossell, María Jesús   +3 more
core   +1 more source

The Dirichlet problem and Kakutani’s theorem [PDF]

, 2022
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Francesc Xavier Massaneda Clares[en] In this memoir we prove a weak version in $\mathbb{R}^2$ of Kakutani's theorem which gives a solution ...
Ibarra García, Nerea
core  

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source

On construction of converging sequences to solutions of boundary value problems

Mathematical Modelling and Analysis, 2010
We consider the Dirichlet problem x″ = f(t,x), x(a) = A, x(b) = B under the assumption that there exist the upper and lower functions. We distinguish between two types of solutions, the first one, which can be approximated by monotone sequences of ...
Maria Dobkevich
doaj   +1 more source

The gcd-sum function

, 2001
The gcd-sum is an arithmetic function defined as the sum of the gcd's of the first n integers with n: g(n) = sumi=1..n (i, n). The function arises in deriving asymptotic estimates for a lattice point counting problem.
Broughan, Kevin A.
core  

Remarks on the Maximal Regularity for Parabolic Boundary Value Problems With Inhomogeneous Data

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Inspired by Ogawa‐Shimizu and Chen‐Liang‐Tsai on the second and first order derivative estimates of solutions of the heat equation in the upper half space with boundary data in homogeneous Besov spaces, we extend the estimates to any order of derivatives, including fractional derivatives.
Hui Chen, Su Liang, Tai‐Peng Tsai
wiley   +1 more source