Zobrazeno 1 - 10
of 2 685
pro vyhledávání: '"p-Laplace operator"'
Autor:
Ismail Aydin, Peter Kogut
Publikováno v:
Journal of Optimization, Differential Equations and Their Applications, Vol 32, Iss 2, Pp 175-204 (2024)
We study a Dirichlet optimal control problem for a quasilinear monotone elliptic equation with the so-called weighted p(x)-Laplace operator. The coefficient of the p(x)-Laplacian, the weight u, we take as a control in BV (Ω) ∩ L∞(Ω). In this ar
Externí odkaz:
https://doaj.org/article/241100287a4d4fee871535eaf19a23ef
Autor:
Vétois Jérôme
Publikováno v:
Advanced Nonlinear Studies, Vol 24, Iss 3, Pp 543-552 (2024)
In this note, we obtain a classification result for positive solutions to the critical p-Laplace equation in Rn ${\mathbb{R}}^{n}$ with n ≥ 4 and p > p n for some number pn∈n3,n+13 ${p}_{n}\in \left(\frac{n}{3},\frac{n+1}{3}\right)$ such that p
Externí odkaz:
https://doaj.org/article/2d9e70075d984d74b69394f484c1bdf5
Publikováno v:
AIMS Mathematics, Vol 9, Iss 4, Pp 8353-8370 (2024)
This paper was concerned with the following Kirchhoff type equation involving the fractional Laplace operator $ (-\Delta)^{s} $ $ \begin{cases} \left(1+\alpha\int_{\mathbb{R}^{3}}|(-\Delta)^{\frac{s}{2}}u|^{2}dx\right)(-\Delta)^{s} u+\mu K(x)u = g
Externí odkaz:
https://doaj.org/article/f7cfa6095a344995a308d9efaae4e975
Autor:
Konstantinos T. Gkikas
Publikováno v:
Mathematics in Engineering, Vol 6, Iss 1, Pp 45-80 (2024)
Let $ s\in(0, 1), $ $ 1 < p < \frac{N}{s} $ and $ \Omega\subset{\mathbb R}^N $ be an open bounded set. In this work we study the existence of solutions to problems ($ E_\pm $) $ Lu\pm g(u) = \mu $ and $ u = 0 $ a.e. in $ {\mathbb R}^N\setminus \Omega
Externí odkaz:
https://doaj.org/article/f9ad42af167746ba8761886d1bf42c54
Publikováno v:
Axioms, Vol 13, Iss 11, p 794 (2024)
In this work, we study the spectral properties of the Laplace operator with variable dependent boundary conditions in a disk. The boundary conditions include periodic and antiperiodic boundary conditions as well as the generalized Samarskii–Ionkin-
Externí odkaz:
https://doaj.org/article/1b648a9caa344f96a147d76ccee00790
Publikováno v:
Demonstratio Mathematica, Vol 56, Iss 1, Pp 213-259 (2023)
In this article, we are concerned with the following critical nonlocal equation with variable exponents: (−Δ)p(x,y)su=λf(x,u)+∣u∣q(x)−2uinΩ,u=0inRN\Ω,\left\{\begin{array}{ll}{\left(-\Delta )}_{p\left(x,y)}^{s}u=\lambda f\left(x,u)+{| u| }
Externí odkaz:
https://doaj.org/article/92f6d2fb403743c99727f7196f15e0b6
Autor:
Aghajani Asadollah, Kinnunen Juha
Publikováno v:
Advances in Nonlinear Analysis, Vol 12, Iss 1, Pp 423-443 (2023)
We consider the nonlocal quasilinear elliptic problem: −Δmu(x)=H(x)((Iα*(Qf(u)))(x))βg(u(x))inΩ,-{\Delta }_{m}u\left(x)=H\left(x){(\left({I}_{\alpha }* \left(Qf\left(u)))\left(x))}^{\beta }g\left(u\left(x))\hspace{1.0em}\hspace{0.1em}\text{in}\
Externí odkaz:
https://doaj.org/article/b14d3ad428c84187b71ca37f6f0183ee
Publikováno v:
Algorithms, Vol 17, Iss 10, p 429 (2024)
Aiming at the problem that the surface defects of blAister tablets are difficult to detect correctly, this paper proposes a detection method based on the improved U2Net. First, the features extracted from the RSU module of U2Net are enhanced and adju
Externí odkaz:
https://doaj.org/article/80673873425e43228c8391d5d96fd48b
Autor:
Koichi Kato, Serge Richard
Publikováno v:
Symmetry, Vol 16, Iss 8, p 1073 (2024)
It is a common postulate that spectral properties of operators describing physical systems are independent of the underlying reference frames. For the Laplace operator on topological crystals, we prove such a statement from a deeper analysis of the b
Externí odkaz:
https://doaj.org/article/6da2a21758704db8a3113e49a70c7448