Results 131 to 140 of about 12,976 (302)
Existence of solutions to a superlinear p-Laplacian equation
Electronic Journal of Differential Equations, 2001 Using Morse theory, we establish the existence of solutions to the equation $-Delta_p u = f(x,u)$ with Dirichlet boundary conditions. We assume that $int_0^s f(x,t),dt$ lies between the first two eigenvalues of the p-Laplacian.
Shibo Liu
doaj
Realizability Of The Morse Polytope
, 2015 In this article we will show that, in general, for each integral point (γ0,..., γn) in the Morse polytope, Pκ(h0,..., hn), one can associate an abstract Lyapunov graph L(h0,..., hn, κ) with ntd-labelling and realize a corresponding flow on Mn, where the ...
de Rezende K.A. +2 more
core +1 more source
Child &Family Social Work, EarlyView.ABSTRACT Türkiye has experienced a notable increase in juvenile delinquency in recent years, raising serious concerns about child welfare and juvenile justice systems. This qualitative study examines the socio‐economic and structural dimensions of recidivism based on the field experiences of 20 social workers working with children drawn into crime ...
Hüseyin Batman +3 more
wiley +1 more source
2D Piecewise Linear Scalar Fields with Invertible Integral Lines
Computer Graphics Forum, EarlyView.Abstract Integral lines of the gradient flow are standard features in continuously differentiable scalar fields that enjoy some useful properties: They cover the domain densely, do not split, merge, or intersect, and are therefore invertible. For widely used discretizations of scalar fields, the corresponding polygonal approximations of integral lines ...
T.L. Erxleben +3 more
wiley +1 more source
Cambridge Journal of Mathematics40 pages. v1:This paper is an outgrowth of v1 of arXiv:2211.11712 which has been greatly expanded and separated into 2 papers: (1) the replaced version of arXiv:2211.11712 concerns symplectic manifolds and uses analytic-based method; (2) this paper which defines the general notion of a cone Morse theory for smooth manifolds with respect to any closed ...
Clausen, David +2 more
openaire +2 more sources
Topology‐based Visual Analysis of Hydrothermal Plumes
Computer Graphics Forum, EarlyView.Abstract Hydrothermal plumes are turbulent structures of intense heat and mineral smoke that rise and disperse into the deep ocean. Existing models generally characterize these systems as a single axisymmetric plume originating from a point source. However, this assumption breaks down in weakly venting, spatially distributed systems, where low‐flux ...
Adhitya Kamakshidasan +3 more
wiley +1 more source
Nontrivial solutions for nonlinear elliptic problems via Morse theory
Electronic Journal of Differential Equations, 2006 We prove the existence of nontrivial solutions for perturbations of p-Laplacian. Our approach combine minimax arguments and Morse Theory, under the conditions on the behaviors of the perturbed function $f(x,t)$ or its primitive $F(x,t)$ near infinity and
Abdesslem Ayoujil, Abdel R. El Amrouss
doaj
A Minimal Morse Resolution of Path Ideals of Lines of Projective Dimension 2
We study the connection between a special class of monomial ideals and CW complexes. Let I denote the ideal $I_t(L_{2t+1})$, i.e., a path ideal of line graph of projective dimension 2.
Wang, Kyle
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Geometry‐Aware Alignment and Comparison of Hierarchical Morse Complexes with Applications
Computer Graphics Forum, EarlyView.Abstract Scalar fields derived from 3D X‐ray CT scans of samples undergoing ex situ processes, such as thermal aging, chemical etching, or mechanical stress, pose unique challenges for characterizing similarities and differences across acquisitions. Typically, a sample A (source) is imaged, removed, and subjected to experimental conditions that alter ...
Aniketh Venkat +3 more
wiley +1 more source
An introduction to Morse theory
, 2001 In a very broad sense, '"spaces" are the primary objects of study in geometry, and "functions" are the objects of study in analysis. There are, however, deep relations between functions defined on a space and the shape of the space, and the study of ...
Matsumoto, Yukio
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