Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems (Q1608800)
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scientific article; zbMATH DE number 1780530
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems |
scientific article; zbMATH DE number 1780530 |
Statements
Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems (English)
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13 August 2002
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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 \(-\Delta_p u = F_{u}(x,u,v)\), \(-\Delta_q v = F_{v} (x,u,v)\), under conditions involving the first and the second eigenvalues.
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existence
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minimax theorem
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eigenvalues
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