Zobrazeno 1 - 4
of 4
pro vyhledávání: '"Lukas Kotrla"'
Autor:
Lukas Kotrla
Publikováno v:
Electronic Journal of Differential Equations, Vol 2018, Iss 135,, Pp 1-11 (2018)
We find an explicit formula for the coefficients of the generalized Maclaurin series for $\sin_p$ provided p>2 is an integer. Our method is based on an expression of the $n$-th derivative of $\sin_p$ in the form $$ \sum_{k = 0}^{2^{n - 2} - 1} a_
Externí odkaz:
https://doaj.org/article/b13888704b8748aa8d22c4c093957f40
Publikováno v:
Electronic Journal of Differential Equations, Vol 2018, Iss 16,, Pp 1-17 (2018)
We describe the historical process of derivation of the p-Laplace operator from a nonlinear Darcy law and the continuity equation. The story begins with nonlinear flows in channels and ditches. As the nonlinear Darcy law we use the power law disc
Externí odkaz:
https://doaj.org/article/0422699c79fa4b66879112f7e17cc402
Publikováno v:
Electronic Journal of Differential Equations, Vol 2015, Iss 38,, Pp 1-7 (2015)
We construct a positive solution to a quasilinear parabolic problem in a bounded spatial domain with the p-Laplacian and a nonsmooth reaction function. We obtain nonuniqueness for zero initial data. Our method is based on sub- and supersolutions a
Externí odkaz:
https://doaj.org/article/348ee23f92ec42c8bb75fc90b9f3db40
Autor:
Petr Girg, Lukáš Kotrla
Publikováno v:
Abstract and Applied Analysis, Vol 2016 (2016)
We study extension of p-trigonometric functions sinp and cosp and of p-hyperbolic functions sinhp and coshp to complex domain. Our aim is to answer the question under what conditions on p these functions satisfy well-known relations for usual trigono
Externí odkaz:
https://doaj.org/article/d9acae06fc394c2ab39ef376615e45a2