Solvability for some boundary value problems with $\phi$-Laplacian operators
Author(s) -
José Ángel Cid,
Pedro J. Torres
Publication year - 2008
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.289
H-Index - 70
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2009.23.727
Subject(s) - lambda , boundary value problem , laplace operator , p laplacian , mathematics , mathematical physics , boundary (topology) , value (mathematics) , pure mathematics , mathematical analysis , physics , quantum mechanics , statistics
We study the existence of solution for the one-dimensional -laplacian equation ( (u0))0 = f (t,u,u0) with Dirichlet or mixed boundary conditions. Under general conditions, an explicit estimate 0 is given such that the problem possesses a solution for any | | < 0.
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