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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


Resonance and quasilinear ellipticity

Author: Victor L. Shapiro
Journal: Trans. Amer. Math. Soc. 294 (1986), 567-584
MSC: Primary 35J60; Secondary 35B10
MathSciNet review: 825722
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Abstract: Two resonance-type existence theorems for periodic solutions of second order quasilinear elliptic partial differential equations are established. The first theorem is a best possible result, and the second theorem presents conditions which are both necessary and sufficient.

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Additional Information

PII: S 0002-9947(1986)0825722-7
Keywords: Quasilinear elliptic, resonance, distribution solution, unbounded coefficients
Article copyright: © Copyright 1986 American Mathematical Society

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