Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems

Pablo L. de Nàpoli and M. Cristina Mariani

Abstract and Applied Analysis, 2002, vol. 7, issue 3, 155-167

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.

Date: 2002
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https://doi.org/10.1155/S1085337502000829

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:7:y:2002:i:3:p:155-167

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