隔壁的答主@GAGA 是p-adic量子力学的专家，这篇短文旨在补充p-adic在高能物理中的其他应用(p-adic Str...
Polyakov和Witten在更早的时候获得。不知Klebanov是否会想起当年那个稚气未脱的学生？在此谨向他们师徒二人...
We choose the particular case when the function f can be expressed in the form f(x, z, w, y)= \varphi (x, z, w)- \psi (y) , where the function \psi depends only on the p-Laplacian \Delta _p u . We also present some applications of our results....
Using the least action principle in critical point theory we obtain some existence results of periodic solutions for (q(t), p(t))-Laplacian systems which generalize some existence results. MSC: Primary 34C25 Keywords: periodic solutions; (q(t),p(t))-Laplacian systems; generalized Lebesgue and...
Let G(V,E)G(V,E) be a connected finite graph satisfying the CD√⋅p(m,K)CDp⋅(m,K) condition for p≥ 2, m>0, K≤ 0p≥ 2, m>0, K≤ 0. In this paper we consider the elliptic gradient estimate for the solutions to the equation on GG, where ΔpΔp is the pp-Laplace...
Book M. Lewicka, Non-local Tug-of-War with noise for the geometric fractional p-Laplacian. Adv. Differ. Equ.(1–2), 31–76 (2022) M. Lewicka, J.J. Manfredi, Game theoretical methods in PDEs. Bollettino dell’Unione Matematica Italiana7(3), 211–216 (2014) ...
For p > 2, we consider the quasilinear equation Delta(p)u+\u\(p-2) u= g(u) in the unit ball B of R-N, with homogeneous Neumann boundary conditions. The assumptions on g are very mild and allow the nonlinearity to be possibly supercritical in the sense
In particular, Mihǎilescu in [19] studied the following p(x)-Laplacian equation involving concave-convex nonlinearities: {−Δp(x)u=λ|u|q(x)−2u+|u|r(x)−2u,in Ω,u=0,on ∂Ω, (4) where 1<q(x)<p−<p+<r(x)<p−∗, λ is a positive constant. Using ...
(1.2) Here⨍, whereis the first coordinate,the surface measure on the sphere anddenotes the ball of radiuscentered at 0. The aim of this paper is to propose a new monotone finite difference discretization of thep-Laplacian based on the asymptotic expansion (1.2). As an application of our...
Feng, M., Zhang, Y.: Positive solutions of singular multiparameter p-Laplacian elliptic systems. Discrete Contin. Dyn. Syst. Ser. 27B, 1121–1147 (2022) Article MathSciNet MATH Google Scholar Feng, M., Zhang, X.: Strictly convex solutions to the singular boundary blow-up Monge-Ampère ...