Results 81 to 90 of about 232 (187)

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

Comput Optim Appl, 2023
Corella AD, Jork N, Veliov VM.
europepmc   +1 more source

A semilinear control problem involving homogenization

Electronic Journal of Differential Equations, 2001
We consider a control problem involving a semilinear elliptic equation with a uniformly Lipschitz non-linearity and rapidly oscillating coefficients in a bounded domain of $mathbb{R}^N$.
Carlos Conca, Axel Osses, Jeannine Saint Jean Paulin   +2 more
doaj  

Existence and multiplicity of solutions for a singular semilinear elliptic problem in R^2

Electronic Journal of Differential Equations, 2011
Using minimax methods we study the existence and multiplicity of nontrivial solutions for a singular class of semilinear elliptic nonhomogeneous equation where the potentials can change sign and the nonlinearities may be unbounded in $x$ and behaves ...
Manasses de Souza
doaj  

EXISTENCE OF A STEADY FLOW WITH A BOUNDED VORTEX IN AN UNBOUNDED DOMAIN [PDF]

Journal of Sciences, Islamic Republic of Iran, 2001
We prove the existence of steady 2-dimensional flows, containing a bounded vortex, and approaching a uniform flow at infinity. The data prescribed is the rearrangement class of the vorticity field. The corresponding stream function satisfies a semilinear
doaj  

On Existence of Solution for a Class of Semilinear Elliptic Equations with Nonlinearities That Lies between Different Powers

Abstract and Applied Analysis, 2008
We prove that the semilinear elliptic equation −Δu=f(u), in Ω, u=0, on ∂Ω has a positive solution when the nonlinearity f belongs to a class which satisfies μtq≤f(t)≤Ctp at infinity and behaves like tq near the origin, where ...
Claudianor O. Alves, Marco A. S. Souto
doaj   +1 more source

Constrained Nonlinear and Mixed Effects Integral Differential Equation Models for Dynamic Cell Polarity Signaling. [PDF]

Front Plant Sci, 2022
Xiao Z, Brunel N, Tian C, Guo J, Yang Z, Cui X.   +5 more
europepmc   +1 more source

A free boundary problem for semilinear elliptic equations

, 1986
The regularity of the free boundary for the following problem was investigated: \[ \Delta u=a(x,u)\gamma u^{\gamma -1}\text{ on } \Omega \cap \{u>0\},\quad 00\}\) where a tangent plane in measure exists, which is denoted by \(\partial_{red}\{u>0\};\) 3) A notion of 'flat' free boundary point was introduced; 4) The \(C^{1,\alpha}\) surface regularity of
Alt, H.W., Phillips, D.
openaire   +1 more source

Uniqueness of Solutions to Nonlinear Schrödinger Equations from their Zeros. [PDF]

Ann PDE, 2022
Kehle C, Ramos JPG.
europepmc   +1 more source

Tracking and blind deconvolution of blood alcohol concentration from transdermal alcohol biosensor data: A population model-based LQG approach in Hilbert space. [PDF]

Automatica (Oxf), 2023
Yao M, Luczak SE, Rosen IG.
europepmc   +1 more source

On blow-up solutions and dead zones in semilinear equations

Доповiдi Нацiональної академiї наук України
Presented by Corresponding Member of the NAS of Ukraine V.Ya. Gutlyanskii We study semilinear elliptic equations of the form div(A(z)∇u)=f(u) in Ω⊂C, where A(z) stands for a sym metric 2×2 matrix function with measurable entries, detA=1, and such that 1/
V.Ya. Gutlyanskiĭ, O.V. Nesmelova, V.I. Ryazanov   +2 more
doaj   +1 more source