Continuous Differentiability of the Value Function of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems on L 2 ( Ω ) Under Control Constraints. [PDF]
Kunisch K, Priyasad B.
europepmc +1 more source
Semilinear Elliptic Equations in Unbounded Domains [PDF]
We studied some semilinear elliptic equations on the entire space R^N. Our approach was variational, and the major obstacle was the breakdown in compactness due to the unboundedness of the domain. First, we considered an asymptotically linear Scltrodinger equation under the presence of a steep potential well.
openaire +2 more sources
Inverse eigenvalue problems for semilinear elliptic equations
We consider the inverse nonlinear eigenvalue problem for the equation $$displaylines{ -Delta u + f(u) = lambda u, quad u > 0 quad hbox{in } Omega,cr u = 0 quad hbox{on } partialOmega, } where $f(u)$ is an unknown nonlinear term, $Omega subset ...
Tetsutaro Shibata
doaj
Constrained Nonlinear and Mixed Effects Integral Differential Equation Models for Dynamic Cell Polarity Signaling. [PDF]
Xiao Z +5 more
europepmc +1 more source
Existence and Asymptotic Behaviors of Positive Solutions for a Semilinear Elliptic Equation on Trees
Yating Niu, Yingshu Lü
openalex +1 more source
Multiple solutions of nonlinear fractional elliptic equations via Morse theory
This article concerns the existence and multiplicity of weak solutions of the nonlinear fractional elliptic problem. We extend some well known results of semilinear Laplacian equations to the nonlocal fractional setting. Using the variational methods
Wei Qi, Lin Zhao, Xingjie Yan
doaj
Solving Fredholm Integral Equations Using Deep Learning. [PDF]
Guan Y, Fang T, Zhang D, Jin C.
europepmc +1 more source
A Second look at the first result of Landesman-Lazer type
We discuss some results concerning periodic and almot periodic solutions of ordinary differential equations which are precursors of a result on weak solutions of a semilinear elliptic boundary due to E. M. Landesman and the author. It is observed that in
Alan C. Lazer
doaj
On Semilinear Elliptic Equation with Measurable Nonlinearity [PDF]
Oleg Zubelevich
openalex +1 more source

