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Zbl 1187.35083
Corvellec, J.-N.; Motreanu, V.V.; Saccon, C.
Doubly resonant semilinear elliptic problems via nonsmooth critical point theory. (English)
[J] J. Differ. Equations 248, No. 8, 2064-2091 (2010). ISSN 0022-0396

Summary: We consider the existence of weak solutions for classical doubly resonant semilinear elliptic problems. We show how the main technical assumptions can be used to define appropriate metrics on the underlying function space, so that extensions of the results already known in the literature can be obtained using only basic facts from critical point theory for continuous functionals on complete metric spaces.

MSC 2000:: *35J61
58E05 Abstract critical point theory
35J25 Second order elliptic equations, boundary value problems
35J91
35J20 Second order elliptic equations, variational methods
35B38 Critical points

Keywords: doubly resonant elliptic problems; nonsmooth critical point theory; nonquadraticity conditions

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