Results 131 to 140 of about 75,181 (273)

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  

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  

Impulsive fractional order integrodifferential equation via fractional operators. [PDF]

PLoS One, 2023
Al-Omari A, Al-Saadi H.
europepmc   +1 more source

On bounded entire solutions of semilinear elliptic equations

, 1984
Nichiro Kawano
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Semilinear elliptic equations with sublinear indefinite nonlinearities [PDF]

, 1999
Stan Alama
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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 multiple positive solutions for a semilinear elliptic equation [PDF]

, 1997
Deng Yinbing, Yi Li
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Uniqueness of continuation for semilinear elliptic equations

Partial Differential Equations and Applications
We quantify the uniqueness of continuation from Cauchy or interior data. Our approach consists in extending the existing results in the linear case. As by product we obtain a new stability estimate in the linear case. We also show the so-called strong uniqueness of continuation and the uniqueness of continuation from a set of positive measure.
openaire   +2 more sources

Operator compression with deep neural networks. [PDF]

Adv Contin Discret Model, 2022
Kröpfl F, Maier R, Peterseim D.
europepmc   +1 more source

Bifurcation in L^p (R^N ) for a Semilinear Elliptic Equation

, 1988
C. A. Stuart
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