Strictly positive solutions for one dimensional nonlinear elliptic problems

We study the existence and nonexistence of strictly positive solutions for the elliptic problems -- in a bounded open interval, with zero boundary conditions, where -- is a strongly uniformly elliptic differential operator, --, and -- is a function that changes sign. We also characterize the set of...

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Autores principales: Kaufmann, Uriel, Medri, Iván Vladimir
Formato: article
Lenguaje:Inglés
Publicado: 2021
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Acceso en línea:http://hdl.handle.net/11086/20048
https://ejde.math.txstate.edu/Volumes/2014/126/kaufmann.pdf
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Sumario:We study the existence and nonexistence of strictly positive solutions for the elliptic problems -- in a bounded open interval, with zero boundary conditions, where -- is a strongly uniformly elliptic differential operator, --, and -- is a function that changes sign. We also characterize the set of values-- for which the problem admits a solution, and in addition an existence result for other nonlinearities is presented.