Nondegeneracy of elliptic problems with periodic nonlinearities in the plane |
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Authors: | Antonio J Ureña |
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Institution: | (1) Departamento de Matemática Aplicada, Universidad de Granada, 18071 Granada, Spain |
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Abstract: | A class of asymptotically quadratic functionals on Hilbert spaces, called degenerate, is considered and explored. Our results are applied to obtain a extension, in the planar case, of a result published by
Solimini in ‘On the solvability of some elliptic partial differential equations with the linear part at resonance’, J. Math.
Anal. Appl., 117 (1986), 138-152. Similar extensions had been previously studied in the literature only for domains with particular
geometries. |
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Keywords: | Mathematics Subject Classiffcation (2000)" target="_blank">Mathematics Subject Classiffcation (2000) 35J20 35J25 35J60 35J65 |
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