Results 21 to 30 of about 140 (107)
Well‐posedness and regularity results for a dynamic Von Kármán plate
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 2, Page 237-244, 1995., 1994 We consider the problem of well‐posedness and regularity of solutions for a dynamic von Kármán plate which is clamped along one portion of the boundary and which experiences boundary damping through free edge conditions on the remainder of the boundary.
M. E. Bradley
wiley +1 more source
Double-phase parabolic equations with variable growth and nonlinear sources
Advances in Nonlinear Analysis, 2022 We study the homogeneous Dirichlet problem for the parabolic equations ut−div(A(z,∣∇u∣)∇u)=F(z,u,∇u),z=(x,t)∈Ω×(0,T),{u}_{t}-{\rm{div}}\left({\mathcal{A}}\left(z,| \nabla u| )\nabla u)=F\left(z,u,\nabla u),\hspace{1.0em}z=\left(x,t)\in \Omega \times ...
Arora Rakesh, Shmarev Sergey
doaj +1 more source
Remarks on the existence and decay of the nonlinear beam equation
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 409-412, 1994., 1993 We will consider a class of nonlinear beam equation and we will prove the existence and decay weak ...
Jaime E. Mũnoz Rivera
wiley +1 more source
The exterior Dirichlet problem for the homogeneous complex k-Hessian equation
Advanced Nonlinear Studies, 2023 In this article, we consider the homogeneous complex kk-Hessian equation in an exterior domain Cn⧹Ω{{\mathbb{C}}}^{n}\setminus \Omega . We prove the existence and uniqueness of the C1,1{C}^{1,1} solution by constructing approximating solutions.
Gao Zhenghuan, Ma Xinan, Zhang Dekai
doaj +1 more source
Biharmonic eigen‐value problems and Lp estimates
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 3, Page 469-480, 1990., 1989 Biharmonic eigen‐values arise in the study of static equilibrium of an elastic body which has been suitably secured at the boundary. This paper is concerned mainly with the existence of and Lp‐estimates for the solutions of certain biharmonic boundary value problems which are related to the first eigen‐values of the associated biharmonic operators. The
Chaitan P. Gupta, Ying C. Kwong
wiley +1 more source
Maximal Lp -Lq regularity to the Stokes problem with Navier boundary conditions
Advances in Nonlinear Analysis, 2017 We prove in this paper some results on the complex and fractional powers of the Stokes operator with slip frictionless boundary conditions involving the stress tensor.
Al Baba Hind
doaj +1 more source
A non-smooth Brezis-Oswald uniqueness result
Open Mathematics, 2023 We classify the non-negative critical points in W01,p(Ω){W}_{0}^{1,p}\left(\Omega ) of J(v)=∫ΩH(Dv)−F(x,v)dx,J\left(v)=\mathop{\int }\limits_{\Omega }\hspace{0.15em}H\left(Dv)-F\left(x,v){\rm{d}}x, where HH is convex and positively pp-homogeneous, while ...
Mosconi Sunra
doaj +1 more source
Gradient estimate of a variable power for nonlinear elliptic equations with Orlicz growth
Advances in Nonlinear Analysis, 2020 In this paper, we prove a global Calderón-Zygmund type estimate in the framework of Lorentz spaces for a variable power of the gradients to the zero-Dirichlet problem of general nonlinear elliptic equations with the nonlinearities satisfying Orlicz ...
Liang Shuang, Zheng Shenzhou
doaj +1 more source
New Results About the Lambda Constant and Ground States of the 𝑊-Functional
Advanced Nonlinear Studies, 2020 In this paper, we study properties of the lambda constants and the existence of ground states of Perelman’s famous W-functional from a variational formulation. We have two kinds of results.
Ma Li
doaj +1 more source
Advances in Nonlinear AnalysisWe consider the homogeneous Dirichlet problem for the parabolic equation ut−div(∣∇u∣p(x,t)−2∇u)=f(x,t)+F(x,t,u,∇u){u}_{t}-{\rm{div}}({| \nabla u| }^{p\left(x,t)-2}\nabla u)=f\left(x,t)+F\left(x,t,u,\nabla u) in the cylinder QT≔Ω×(0,T){Q}_{T}:= \Omega ...
Arora Rakesh, Shmarev Sergey
doaj +1 more source