Inverse eigenvalue problems for semilinear elliptic equations
Electronic Journal of Differential Equations, 2009 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, $Omega subset ...
Tetsutaro Shibata
doaj
Existence of positive solutions for Dirichlet problems of some singular elliptic equations
Electronic Journal of Differential Equations, 2003 When an unbounded domain is inside a slab, existence of a positive solution is proved for the Dirichlet problem of a class of semilinear elliptic equations similar to the singular Emden-Fowler equation.
Zhiren Jin
doaj
Tracking and blind deconvolution of blood alcohol concentration from transdermal alcohol biosensor data: A population model-based LQG approach in Hilbert space. [PDF]
Automatica (Oxf), 2023 Yao M, Luczak SE, Rosen IG.
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Uniqueness of Solutions to Nonlinear Schrödinger Equations from their Zeros. [PDF]
Ann PDE, 2022 Kehle C, Ramos JPG.
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A Higher-Order Energy Expansion to Two-Dimensional Singularly Neumann Problems
, 2005 Of concern is the following singularly perturbed semilinear elliptic problem \begin{equation*} \left\{ \begin{array}{c} \mbox{${\epsilon}^2\Delta u -u+u^p =0$ in $\Omega$}\\ \mbox{$u>0$ in $\Omega$ and $
Yeung, W-K, Winter, M, Wei, J
core
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
doaj
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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Uniqueness of Positive Solutions of Semilinear Elliptic Equations
Journal of Differential Equations, 1995 The uniqueness of positive solutions of the problem \[ \Delta u+ f(u)= 0, \quad u>0,\;x\in B_ R, \qquad u|_{\partial B_ R}=0, \] where \(f(u)\geq 0\), \(B_ R\) is a ball with radius \(R\) in \(\mathbb{R}^ n\), \(n>2\), is studied. The following nonlinearities \(f\) are considered: \(f(u)= u^ p+ u^ q\) and the more general case \(f(u)= \sum_{i=1}^ k a_ ...
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Bifurcation of Fredholm maps II; The dimension of the set of bifurcation points [PDF]
, 2011 We obtain an estimate for the covering dimension of the set of bifurcation points for solutions of nonlinear elliptic boundary value problems from the principal symbol of the linearization along the trivial branch of ...
Pejsachowicz, Jacobo
core
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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