Results 21 to 30 of about 634,419 (341)
Regular and Discontinuous Solutions in a Reaction-Diffusion Model for Hair Follicle Spacing
Biomath, 2014 Solutions of a model reaction-diffusion system inspired by a model for hair follicle initiation in mice are constructed and analysed for the case of a one-dimensional domain.
Peter Rashkov
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Weak entropy solutions to a model in induction hardening, existence and weak-strong uniqueness [PDF]
, 2020 In this paper, we investigate a model describing induction hardening of steel. The related system consists of an energy balance, an ODE for the different phases of steel, and Maxwell's equations in a potential formulation. The existence of weak entropy solutions is shown by a suitable regularization and discretization technique.
arxiv +1 more source
Dimensionalities of weak solutions in hydrogenic systems [PDF]
Journal of Physics A: Mathematical and General, 2006 A close inspection on the 3D hydrogen atom Hamiltonian revealed formal eigenvectors often discarded in the literature. Although not in its domain, such eigenvectors belong to the Hilbert space, and so their time evolution is well defined. They are then related to the 1D and 2D hydrogen atoms and it is numerically found that they have continuous ...
Alejandro López-Castillo +1 more
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The weak solutions to complex Hessian equations [PDF]
arXiv, 2023 In this paper, we shall study existence of weak solutions to complex Hessian equations. With appropriate assumptions, it is possible to obtain weak solutions in pluripotential sense.
arxiv
Acta Universitatis Sapientiae: Mathematica, 2023 In this paper we study a Neumann boundary value problem of a new p(x)-Kirchhoff type problems driven by p(x)-Laplacian-like operators. Using the theory of variable exponent Sobolev spaces and the method of the topological degree for a class of ...
Ouaarabi Mohamed El +2 more
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On fractional and classical hyperbolic obstacle-type problems [PDF]
arXiv, 2023 We consider weak solutions for the obstacle-type viscoelastic ($\nu>0$) and very weak solutions for the obstacle inviscid ($\nu=0$) Dirichlet problems for the heterogeneous and anisotropic wave equation in a fractional framework based on the Riesz fractional gradient $D^s$ ($0
arxiv
On a class of superlinear nonlocal fractional problems without Ambrosetti–Rabinowitz type conditions
Electronic Journal of Qualitative Theory of Differential Equations, 2019 In this note, we deal with the existence of infinitely many solutions for a problem driven by nonlocal integro-differential operators with homogeneous Dirichlet boundary conditions \begin{equation*} \begin{cases} -\mathcal{L}_{K}u=\lambda f(x,u), &
Qing-Mei Zhou
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A new old solution for weak tournaments [PDF]
Social Choice and Welfare, 2011 This note uncovers new properties of the von Neumann-Morgenstern solution in weak tournaments and majoritarian games. We propose a new procedure for the construction of choice sets from weak tournaments, based on dynamic stability criteria. The idea is to analyze dynamic versions of the tournament game introduced by Laffond, Laslier and Le Breton (1993)
openaire +5 more sources
Mathematics, 2020 The paper deals with the existence of at least two non zero weak solutions to a new class of impulsive fractional boundary value problems via Brezis and Nirenberg’s Linking Theorem. Finally, an example is presented to illustrate our results.
Asma Alharbi +2 more
doaj +1 more source
Weak Differentiability to Nonuniform Nonlinear Degenerate Elliptic Systems under $p,q$-growth Condition on the Heisenberg Group [PDF]
arXiv, 2023 The paper concerns the weak differentiability of weak solutions to two kinds of nonuniform nonlinear degenerate elliptic systems under the $p,q$-growth condition on the Heisenberg Group. We use the iteration to fractional difference quotients on the Heisenberg Group to get the weak differentiability of weak solution $u$ in the vertical direction (i.e.,
arxiv