Results 121 to 130 of about 1,290,485 (220)
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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Bifurcations for semilinear elliptic equations with convex nonlinearity
Electronic Journal of Differential Equations, 1999 We investigate the exact number of positive solutions of the semilinear Dirichlet boundary value problem $Delta u+f(u) = 0$ on a ball in ${mathbb R}^n$ where $f$ is a strictly convex $C^2$ function on $[0,infty)$. For the one-dimensional case we classify
J. Karatson, Peter L. Simon
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On a semilinear elliptic equation in ℍn
, 2008 We prove existence/nonexistence and uniqueness of positive entire solutions for some semilinear elliptic equations on the Hyperbolic ...
Sandeep, K., Mancini, G.
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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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Semilinear elliptic equations with dependence on the gradient
Electronic Journal of Differential Equations, 2012 In this article we consider elliptic equations whose nonlinear term depends on the gradient of the unknown. We assume that the nonlinearity has a asymptotically linear growth at zero and at infinity with respect to the second variable.
Guanggang Liu, Shaoyun Shi, Yucheng Wei
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Operator compression with deep neural networks. [PDF]
Adv Contin Discret Model, 2022 Kröpfl F, Maier R, Peterseim D.
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Impulsive fractional order integrodifferential equation via fractional operators. [PDF]
PLoS One, 2023 Al-Omari A, Al-Saadi H.
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Semilinear pseudo-differential equations and travelling waves
, 2007 We consider semilinear perturbations of the SG-elliptic pseudodifferential equations. We prove for them a theorem on the regularity of the solutions in the functional frame of the Gelfand-Shilov classes.
CAPPIELLO, Marco, Rodino L., Gramchev T.
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