Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems
de Nàpoli, Pablo L. ; Mariani, M. Cristina
Abstr. Appl. Anal., Tome 7 (2002) no. 12, p. 155-167 / Harvested from Project Euclid
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This work is devoted to the study of a quasilinear elliptic system of resonant type. We prove the existence of infinitely many solutions of a related nonlinear eigenvalue problem. Applying an abstract minimax theorem, we obtain a solution of the quasilinear system $-\Delta _{p}u = F_{u}(x,u,v),-\Delta_{q}v = F_{v}(x,u,v)$ , under conditions involving the first and the second eigenvalues.
Publié le : 2002-05-14
Classification:  35J50 
@article{1050348483,
     author = {de N\`apoli, Pablo L. and Mariani, M. Cristina},
     title = {Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems},
     journal = {Abstr. Appl. Anal.},
     volume = {7},
     number = {12},
     year = {2002},
     pages = { 155-167},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1050348483}
}

de Nàpoli, Pablo L.; Mariani, M. Cristina. Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems. Abstr. Appl. Anal., Tome 7 (2002) no. 12, pp.  155-167. http://gdmltest.u-ga.fr/item/1050348483/