Zobrazeno 1 - 10
of 2 399
pro vyhledávání: '"Elliptic System"'
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-18 (2024)
Abstract By using the well-known mountain-pass theorem and Ekeland’s variational principle, we prove that there exist at least two fully nontrivial solutions for a ( p , q ) $(p,q)$ -Kirchhoff elliptic system with the Dirichlet boundary conditions
Externí odkaz:
https://doaj.org/article/49d7059d735542b09be507a7615705a6
Autor:
Li Bin
Publikováno v:
Advances in Nonlinear Analysis, Vol 13, Iss 1, Pp 185-206 (2024)
The aim of this article is to consider a three-dimensional Cauchy problem for the parabolic-elliptic system arising from biological transport networks. For such problem, we first establish the global existence, uniqueness, and uniform boundedness of
Externí odkaz:
https://doaj.org/article/eabcf4e01d434a3f9a4dff83d1bfcfad
Autor:
S. Baizaev, R. N. Barotov
Publikováno v:
Учёные записки Казанского университета. Серия Физико-математические науки, Vol 166, Iss 1, Pp 22-35 (2024)
This article explores an elliptic system of n equations where the main part is the Bitsadze operator (the square of the Cauchy–Riemann operator) and the lower term is the product of a given matrix function by the conjugate of the desired vector fun
Externí odkaz:
https://doaj.org/article/5cda373020594f85b992a0bb2e5dddb1
Autor:
Botelho Fabio Silva
Publikováno v:
Nonlinear Engineering, Vol 13, Iss 1, Pp 873-89 (2024)
This article develops approximate numerical solutions through the generalized method of lines for the time-independent, incompressible Navier–Stokes system in fluid mechanics. More specifically, we highlight the main objective of this article is th
Externí odkaz:
https://doaj.org/article/c382fdc0be75486392b12f791d5fce84
Publikováno v:
Advances in Nonlinear Analysis, Vol 13, Iss 1, Pp 97-100 (2024)
This article is concerned with the following Hamiltonian elliptic system: −ε2Δu+εb→⋅∇u+u+V(x)v=Hv(u,v)inRN,−ε2Δv−εb→⋅∇v+v+V(x)u=Hu(u,v)inRN,\left\{\begin{array}{l}-{\varepsilon }^{2}\Delta u+\varepsilon \overrightarrow{b}\cdot
Externí odkaz:
https://doaj.org/article/26dd223dad1149d7a917d301a865d151
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-19 (2024)
Abstract We consider the following convective Neumann systems: ( S ) { − Δ p 1 u 1 + | ∇ u 1 | p 1 u 1 + δ 1 = f 1 ( x , u 1 , u 2 , ∇ u 1 , ∇ u 2 ) in Ω , − Δ p 2 u 2 + | ∇ u 2 | p 2 u 2 + δ 2 = f 2 ( x , u 1 , u 2 , ∇ u 1 , ∇ u
Externí odkaz:
https://doaj.org/article/33910121f5964232ad9201b41e8f38ec
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-19 (2024)
Abstract We establish a Liouville-type theorem for a weighted higher-order elliptic system in a wider exponent region described via a critical curve. We first establish a Liouville-type theorem to the involved integral system and then prove the equiv
Externí odkaz:
https://doaj.org/article/ea11a85fc4d84bdbb676a66c1372674d
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-12 (2024)
Abstract In this paper, using variational methods introduced in the previous study on fractional elliptic systems, we prove the existence of at least three weak solutions for an elliptic nonlinear system with a p-Laplacian ψ-Hilfer operator.
Externí odkaz:
https://doaj.org/article/b76ec5efb2e8458caac1702bd2d1673c
Publikováno v:
Mathematics, Vol 12, Iss 19, p 3038 (2024)
We prove the existence of weak solutions of a two-incompressible immiscible wetting and non-wetting fluids phase flow model in porous media with dynamic capillary pressure. This model is a coupled system which includes a nonlinear parabolic saturatio
Externí odkaz:
https://doaj.org/article/ce85ff9267464f35b5cf58ec730f907c
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