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26 March 2002 Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems
Pablo L. de Nàpoli, M. Cristina Mariani
Abstr. Appl. Anal. 7(3): 155-167 (26 March 2002). DOI: 10.1155/S1085337502000829


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 Δpu=Fu(x,u,v),Δqv=Fv(x,u,v), under conditions involving the first and the second eigenvalues.


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Pablo L. de Nàpoli. M. Cristina Mariani. "Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems." Abstr. Appl. Anal. 7 (3) 155 - 167, 26 March 2002.


Published: 26 March 2002
First available in Project Euclid: 14 April 2003

zbMATH: 1005.35036
MathSciNet: MR1896978
Digital Object Identifier: 10.1155/S1085337502000829

Primary: 35J50

Rights: Copyright © 2002 Hindawi

Vol.7 • No. 3 • 26 March 2002
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