Results 81 to 90 of about 1,588 (189)

On critical semilinear elliptic systems

open access: yesAdvances in Differential Equations, 2001
The goal of the present paper is to study the existence of solutions of the semilinear elliptic system \[ \begin{gathered} -\Delta u+ u= |v|^{q-1} v+ g(x,v)\quad\text{in }\mathbb{R}^n,\\ -\Delta v+ v= |u|^{p-1} u+ f(x,u)\quad\text{in }\mathbb{R}^N,\\ u(x)\to 0\text{ and }v(x)\to 0\quad \text{as }|x|\to \infty,\end{gathered}\tag{1} \] where \({1\over p ...
openaire   +3 more sources

A priori estimates and existence of strong solutions for second order semi-linear parabolic systems

open access: yesВестник Самарского университета: Естественнонаучная серия
This paper describes an interpolation method for obtaining a priori estimates for strong solutions of semilinear parabolic equations and systems with unbounded singularities in the right-hand side, provided that there is a first a priori estimate in the ...
S. T. Guseynov   +2 more
doaj   +1 more source

On the solution stability of parabolic optimal control problems. [PDF]

open access: yesComput Optim Appl, 2023
Corella AD, Jork N, Veliov VM.
europepmc   +1 more source

On Singular Semilinear Elliptic Equations

open access: yesJournal of Mathematical Analysis and Applications, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Segmental NELL-1 Membranous Nephropathy Complicating Tiopronin Therapy. [PDF]

open access: yesKidney Int Rep, 2023
Santoriello D   +3 more
europepmc   +1 more source

On Partial C- and S-Controllability Results for Semilinear Stochastic Systems

open access: yesJournal of Function Spaces
This article investigates the concepts of partial C- and S-controllability for semilinear control systems that are disturbed by white noise. For these types of systems, it can be beneficial to study the deterministic and stochastic parts of the system ...
Maher Jneid
doaj   +1 more source

Carleman estimate and null controllability of a cascade degenerate parabolic system with general convection terms

open access: yesElectronic Journal of Differential Equations, 2018
This article shows Carleman estimate and null controllability of a cascade control system governed by the semilinear degenerate parabolic equations with the general convection terms.
Jianing Xu, Chunpeng Wang, Yuanyuan Nie
doaj  

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