Results 81 to 90 of about 304,795 (244)
Global H\"older regularity for the fractional $p$-Laplacian [PDF]
By virtue of barrier arguments we prove $C^\alpha$-regularity up to the boundary for the weak solutions of a non-local nonlinear problem driven by the fractional $p$-Laplacian operator.
A. Iannizzotto, S. Mosconi, M. Squassina
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On localization and regularization [PDF]
Different regularizations are studied in localization of path integrals. We discuss the effect of the choice of regularization by evaluating the partition functions for the harmonic oscillator and the Weyl character for SU(2). In particular, we solve the Weyl shift problem that arises in path integral evaluation of the Weyl character by using the ...
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Mathematics Technical ...
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On the binomial edge ideals of block graphs
We find a class of block graphs whose binomial edge ideals have minimal regularity. As a consequence, we characterize the trees whose binomial edge ideals have minimal regularity.
Chaudhry Faryal+2 more
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We establish the existence of positive solutions for the singular quasilinear Schrödinger equation \begin{equation*} \begin{cases} -\Delta u -\Delta (u^{2})u=h(x) u^{-\gamma} + f(x,u)& \mbox{in } \Omega,\\ u(x)=0&\mbox{on }\partial \Omega, \end{cases ...
Ricardo Alves, Mariana Reis
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Background: Monitoring the lifestyles of older adults helps promote independent living and ensure their well-being. The common technologies for home monitoring include wearables, ambient sensors, and smart household meters.
Bhekumuzi M. Mathunjwa+3 more
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Regularity, positivity and asymptotic vanishing of solutions of a φ-Laplacian
In this note we prove that solutions of a φ-Laplacian operator on the entire space ℝN are locally regular (Hölder continuous), positive and vanish at infinity. Mild restrictions are imposed on the right-hand side of the equation. For example, we assume a
Arriagada Waldo, Huentutripay Jorge
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Studies of climate changes and climate warming problems are connected with the analysis of the geophysical processes including changes in regime of some hydrological elements. One of the indicators of the changing climate is the water level, i.e.
Inga Dailidienė+2 more
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The concept of regular sequence of elements of a ring A (first introduced by Serre under the name of A-sequence [2]), has far-reaching uses in the theory of local rings and in algebraic geometry. It seems, however, that it loses much of its importance when A is not a noetherian ring, and in that case, it probably should be superseded by the concept of ...
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Optimal trajectories in $L^1$ and under $L^1$ penalizations
Motivated by a MFG model where the trajectories of the agents are piecewise constants and agents pay for the number of jumps, we study a variational problem for curves of measures where the cost includes the length of the curve measures with the $L^1 ...
Dumas, Annette, Santambrogio, Filippo
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