Existence of positive solutions for Dirichlet problems of some singular elliptic equations
Electronic Journal of Differential Equations, 2003 When an unbounded domain is inside a slab, existence of a positive solution is proved for the Dirichlet problem of a class of semilinear elliptic equations similar to the singular Emden-Fowler equation.
Zhiren Jin
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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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Uniqueness of Solutions to Nonlinear Schrödinger Equations from their Zeros. [PDF]
Ann PDE, 2022 Kehle C, Ramos JPG.
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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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Multiple solutions of nonlinear fractional elliptic equations via Morse theory
Electronic Journal of Differential Equations, 2017 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
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Constrained Nonlinear and Mixed Effects Integral Differential Equation Models for Dynamic Cell Polarity Signaling. [PDF]
Front Plant Sci, 2022 Xiao Z +5 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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A Second look at the first result of Landesman-Lazer type
Electronic Journal of Differential Equations, 2000 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
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