Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems
Open Access
- 1 January 2002
- journal article
- research article
- Published by Hindawi Limited in Abstract and Applied Analysis
- Vol. 7 (3) , 155-167
- https://doi.org/10.1155/s1085337502000829
Abstract
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=F v(x, u, v), under conditions involving the first and the second eigenvalues.Keywords
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