Fractional minimization problem on the Nehari manifold
Electronic Journal of Differential Equations, 2018 In the framework of fractional Sobolev space, using Nehari manifold and concentration compactness principle, we study a minimization problem in the whole space involving the fractional Laplacian.
Mei Yu, Meina Zhang, Xia Zhang
doaj
Coerciveness and isomorphism of discontinuous Sturm-Liouville problems with transmission conditions
Journal of New Results in ScienceThis study investigates a discontinuous Sturm-Liouville boundary value problem(BVP) on two intervals with functionals and transmission conditions in the direct sum ofSobolev spaces. Moreover, it presents the differential operator generated by the problem
Murat Küçük, Mustafa Kandemir
doaj +1 more source
A trace theorem for Sobolev spaces on the Sierpinski gasket
, 2020 Shiping Cao +3 more
openalex +2 more sources
A simple proof of ill-posedness for incompressible Euler equations in critical Sobolev spaces [PDF]
, 2021 In‐Jee Jeong, Junha Kim
openalex +1 more source
Diffusive Resource–Consumer Dynamics With the Simplest Learning Mechanism and Nonlocal Memory Usage
Mathematical Methods in the Applied Sciences, Volume 48, Issue 18, Page 16433-16444, December 2025.ABSTRACT To describe cognitive consumers' movement, we study a diffusive resource–consumer model with nonlocal memory usage described by a system of parabolic equations, which is coupled with spatial memory dynamics described by a linear learning equation.
Qigang Deng, Ranchao Wu, Hao Wang
wiley +1 more source
Persistence properties for the dispersion generalized BO-ZK equation in\n weighted anisotropic Sobolev spaces [PDF]
, 2020 Alysson Cunha, Ademir Pastor
openalex +1 more source
A Conforming Least Squares Approach for the Numerical Approximation of Parabolic Equations
PAMM, Volume 25, Issue 4, December 2025.ABSTRACT We propose a least squares formulation for the numerical approximation of parabolic partial differential equations, which minimizes the residual of the equation using the natural L2(0,T;H−1(Ω))$L^2(0,T;H^{-1}(\Omega))$ norm. In particular, we avoid making regularity assumptions on the problem's data.
Michael Hinze +2 more
wiley +1 more source
Expanderizing Higher‐Order Random Walks
Random Structures &Algorithms, Volume 67, Issue 4, December 2025.ABSTRACT We study a variant of the down‐up (also known as the Glauber dynamics) and up‐down walks over an n$$ n $$‐partite simplicial complex, which we call expanderized higher‐order random walks—where the sequence of updated coordinates corresponds to the sequence of vertices visited by a random walk over an auxiliary expander graph H$$ H $$. When H$$
Vedat Levi Alev, Shravas Rao
wiley +1 more source
Pointwise multiplicative inequalities and Nirenberg type estimates in weighted Sobolev spaces [PDF]
, 1994 Agnieszka Kałamajska
openalex +1 more source
Sobolev and BV functions on $\mathrm{RCD}$ spaces via the short-time behaviour of the heat kernel [PDF]
, 2022 Camillo Brena +2 more
openalex +1 more source