Zobrazeno 1 - 10
of 529
pro vyhledávání: '"Subsolution"'
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
Autor:
Giuseppina Barletta
Publikováno v:
Mathematics, Vol 12, Iss 16, p 2506 (2024)
In this note we provide an overview of some existence (with sign information) and regularity results for differential equations, in which the method of sub and supersolutions plays an important role. We list some classical results and then we focus o
Externí odkaz:
https://doaj.org/article/71ae6e8d8a4a4f4bb0062e99f6c6b829
Publikováno v:
Advances in Nonlinear Analysis, Vol 12, Iss 1, Pp 277-283 (2023)
We study general problems modeling electrostatic microelectromechanical systems devices (Pλ )φ(r,−u′(r))=λ∫0rf(s)g(u(s))ds,r∈(0,1),00\lambda \gt 0 is a parameter. We obtain results on the existence and regularity of a touchdown solution t
Externí odkaz:
https://doaj.org/article/bdd43cb993a84328b5dc601225fea18f
Akademický článek
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Autor:
Zhou Jundong, Chu Yawei
Publikováno v:
Open Mathematics, Vol 20, Iss 1, Pp 1126-1144 (2022)
In this article, we are concerned with the equations of Krylov type on compact Hermitian manifolds, which are in the form of the linear combinations of the elementary symmetric functions of a Hermitian matrix. Under the assumption of the 𝒞-subsolu
Externí odkaz:
https://doaj.org/article/a6cab68468ca4100b8ee72705b74b0fc
Akademický článek
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Publikováno v:
Opuscula Mathematica, Vol 41, Iss 1, Pp 25-53 (2021)
We are concerned with the existence of solutions to a class of quasilinear parabolic equations having critical growth nonlinearity with respect to the gradient and variable exponent. Using Schaeffer's fixed point theorem combined with the sub- and su
Externí odkaz:
https://doaj.org/article/e791bf45735447d79d6935053f8a3dfb
Publikováno v:
Electronic Journal of Differential Equations, Vol 2020, Iss 112,, Pp 1-29 (2020)
In this article, we consider a diffusion system with the Belousov-Zhabotinskii (BZ for short) chemical reaction. The existence and stability of V-shaped traveling fronts for the BZ system in $\mathbb{R}^2$ had been proved in our previous papers [30
Externí odkaz:
https://doaj.org/article/65537bef374842caabd541a4ed911d0a
Publikováno v:
Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-18 (2020)
Abstract This paper deals with the numerical analysis of parabolic variational inequalities with nonlinear source terms, where the existence and uniqueness of the solution is provided by using Banach’s fixed point theorem. In addition, an optimally
Externí odkaz:
https://doaj.org/article/449653dd51354da6b08319259b58c328
Autor:
Michael Roberts
Publikováno v:
Electronic Journal of Differential Equations, Vol 2019, Iss 91,, Pp 1-16 (2019)
We study the long-time behavior of solutions to a particular class of nonlinear wave equations that appear in models for waves traveling in a non-homogeneous gas with variable damping. Specifically, decay estimates for the energy of such solutions
Externí odkaz:
https://doaj.org/article/82b60c803c0b497f9b3caa8f05ae2e06