Uniqueness of Solutions to Nonlinear Schrödinger Equations from their Zeros. [PDF]
Ann PDE, 2022 Kehle C, Ramos JPG.
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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.
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Solutions for autonomous semilinear elliptic equations
We study existence of nontrivial solutions to problem \begin{equation*} \left\lbrace \begin{array}{rcll} -Δu &=& λu+f(u)&\text{ in }Ω,\\ u&=&0&\text{ on }\partial Ω, \end{array}\right. \end{equation*} where $Ω\subset \mathbb{R}^N$ is a smooth bounded domain, $N\geq 1$, $λ\in \mathbb{R}$ and $f:\mathbb{R}\to \mathbb{R}$ is any ...
Molino, Alexis, Villegas, Salvador
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Note on singular semilinear elliptic equations
Hiroshima Mathematical Journal, 1992 This note deals with the existence of positive entire solution of the following singular semilinear elliptic equation \[ -\Delta u+c(x)u= p(x)u^{-\gamma}, \quad \text{in } \mathbb{R}^ n, \quad n\geq 3,\quad \gamma>0,\tag{1} \] where \(c\), \(p\) are locally Hölder continuous in \(\mathbb{R}^ n\) with exponent ...
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Semilinear Elliptic Equations in Unbounded Domains [PDF]
, 2004 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.
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Continuous Differentiability of the Value Function of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems on L 2 ( Ω ) Under Control Constraints. [PDF]
Appl Math Optim, 2022 Kunisch K, Priyasad B.
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On blow-up solutions and dead zones in semilinear equations
Доповiдi Нацiональної академiї наук УкраїниPresented 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 +2 more
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Solving Fredholm Integral Equations Using Deep Learning. [PDF]
Int J Appl Comput Math, 2022 Guan Y, Fang T, Zhang D, Jin C.
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Positive solutions for semi-linear elliptic equations in exterior domains
Electronic Journal of Differential Equations, 2009 We prove the existence of a solution, decaying to zero at infinity, for the second order differential equation $$ frac{1}{A(t)}(A(t)u'(t))'+phi(t)+f(t,u(t))=0,quad tin (a,infty).
Habib Maagli +2 more
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Beyond the classical strong maximum principle: Sign-changing forcing term and flat solutions
Advances in Nonlinear AnalysisWe show that the classical strong maximum principle, concerning positive supersolutions of linear elliptic equations vanishing on the boundary of the domain can be extended, under suitable conditions, to the case in which the forcing term is sign ...
Díaz Jesús Ildefonso +1 more
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