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
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The Dirichlet problem for the Poisson type equations in the plane
Доповiдi Нацiональної академiї наук УкраїниWe present a new approach to the study of semilinear equations of the form div [A(z)∇u] = f (u), the diffusion term of which is the divergence uniform elliptic operator with measurable matrix functions A(z), whereas its reaction term f (u) is a ...
V.Ya. Gutlyanskiĭ +2 more
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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.
europepmc +1 more source
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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Uniqueness of Solutions to Nonlinear Schrödinger Equations from their Zeros. [PDF]
Ann PDE, 2022 Kehle C, Ramos JPG.
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.
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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
doaj
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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Comparison results and improved quantified inequalities for semilinear elliptic equations
, 2017 International audienceIn this paper, we prove some pointwise comparison results between the solutions of some second-order semilinear elliptic equations in a domain Ω of R n and the solutions of some radially symmetric equations in the equimeasurable ...
Hamel, François, Russ, Emmanuel
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