EXISTENCE RESULT FOR STRONGLY NONLINEAR ELLIPTIC EQUATIONS IN ORLICZ-SOBOLEV SPACES

EXISTENCE RESULT FOR STRONGLY NONLINEAR ELLIPTIC EQUATIONS IN ORLICZ-SOBOLEV SPACES

In this paper, we prove the existence of solutions for some strongly nonlinear Dirichlet problems whose model is the following. <img border=0 width=446 height=38 id="_x0000_i1028" src="../img/exist.JPG"> Where &#937; is an open bounded subset of IR N , N = 2. We emphasi...

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Bibliographic Details
Main Author: YOUSSFI,A
Language:English
Published: Universidad Católica del Norte, Departamento de Matemáticas 2007
Subjects:
Periodic solutions
logarithmic
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000200002
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Summary:In this paper, we prove the existence of solutions for some strongly nonlinear Dirichlet problems whose model is the following. <img border=0 width=446 height=38 id="_x0000_i1028" src="../img/exist.JPG"> Where &#937; is an open bounded subset of IR N , N = 2. We emphasize that no &#916;2-condition is required for the N-function M.

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