On a problem of lower limit in the study of nonresonance
Anane, A. ; Chakrone, O.
Abstr. Appl. Anal., Tome 2 (1997) no. 1-2, p. 227-237 / Harvested from Project Euclid
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We prove the solvability of the Dirichlet problem $$-\Delta_p u = f(u) + h\mathrm{in}\Omega,u = 0\mathrm{on}\partial\Omega$$ for every given $h$ , under a condition involving only the asymptotic behaviour of the potential $F$ of $f$ with respect to the first eigenvalue of the $p$ -Laplacian \Delta_p$ . More general operators are also considered.
Publié le : 1997-05-14
Classification:  $p$-Laplacian,  nonresonance,  first eigenvalue,  35J60,  35P30 
@article{1050355235,
     author = {Anane, A. and Chakrone, O.},
     title = {On a problem of lower limit in the study of nonresonance},
     journal = {Abstr. Appl. Anal.},
     volume = {2},
     number = {1-2},
     year = {1997},
     pages = { 227-237},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1050355235}
}

Anane, A.; Chakrone, O. On a problem of lower limit in the study of nonresonance. Abstr. Appl. Anal., Tome 2 (1997) no. 1-2, pp.  227-237. http://gdmltest.u-ga.fr/item/1050355235/