Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems
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 -Δ pu = F u(x,u,v), -Δ qv = F v(x,u...
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| Autores principales: | , |
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| Formato: | JOUR |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10853375_v7_n3_p155_DeNapoli |
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| Sumario: | 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 -Δ pu = F u(x,u,v), -Δ qv = F v(x,u,v), under conditions involving the first and the second eigenvalues. Copyright © 2002 Hindawi Publishing Corporation. |
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