Geodesic
Nonzero and positive solutions of a superlinear elliptic system
Archivum mathematicum, Tome 37 (2001) no. 1, pp. 63-70

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In this paper we consider the existence of nonzero solutions of an undecoupling elliptic system with zero Dirichlet condition. We use Leray-Schauder Degree Theory and arguments of Measure Theory. We will show the existence of positive solutions and we give applications to biharmonic equations and the scalar case.
Classification : 35B05, 35J45, 35J55, 35J60, 47H11, 47N20
Keywords: elliptic system; Leray-Schauder degree; maximum principle 
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     author = {Zuluaga, Mario},
     title = {Nonzero and positive solutions of a superlinear elliptic system},
     journal = {Archivum mathematicum},
     pages = {63--70},
     publisher = {mathdoc},
     volume = {37},
     number = {1},
     year = {2001},
     mrnumber = {1822763},
     zbl = {1090.35525},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2001__37_1_a7/}
}
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Zuluaga, Mario. Nonzero and positive solutions of a superlinear elliptic system. Archivum mathematicum, Tome 37 (2001) no. 1, pp. 63-70. http://geodesic.mathdoc.fr/item/ARM_2001__37_1_a7/