Shujie Li

Computation of critical groups in resonance problems where the nonlinearity may not be sublinear

) under weaker assumptions that require (1.4), but not (1.7). As an applica-tion we obtain new existence results for asymptotically linear elliptic boundary valueproblems at resonance.We refer the reader to Chang [2] for a wide exposition of Morse theory. The notionofcritical groups at innity was introduced in [1].2.CriticalgroupcomputationsFirst we assume that(G

On the role played by the Fučı́k spectrum in the determination of critical groups in elliptic problems where the asymptotic limits may not exist

On the role played by the Fu

Critical point theory for asymptotically quadratic functionals and applications to problems with resonance

c%&k spectrum in the determination of critical groups in elliptic problems where the asymptotic limits may not exist Shujie Lia ;∗;1, Kanishka Pererab;2, Jiabao Suc;3 aAcademy of Mathematics and Systems Sciences, Institute of Mathematics, Academia Sinica, Beijing 100080, People’s Republic of China bDepartment of Mathematics, Florida Institute of Technology, Melbourne, FL 32901, USA cDepartment of Mathematics, Capital Normal University, Beijing 100037, People’s Republic of China