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 −Δpu=Fu(x, u, v), −Δqv=F v(x, u, v)...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337502000829 |
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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |