Branches of solutions to semilinear biharmonic equations on RN
2006 ◽
Vol 136
(4)
◽
pp. 733-758
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Keyword(s):
For a large class of functions f, we consider the nonlinear biharmonic eigenvalue problem We describe the behaviour of the branch of solutions emanating from an eigenvalue of odd multiplicity below the essential spectrum of the linearized problem. The discussion is based on the degree theory for C2 proper Fredholm maps developed by Fitzpatrick, Pejsachowicz and Rabier.
1975 ◽
Vol 78
(1)
◽
pp. 137-143
◽
1968 ◽
Vol 64
(2)
◽
pp. 439-446
◽
1976 ◽
Vol 74
◽
pp. 239-252
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2000 ◽
Vol 43
(3)
◽
pp. 511-528
◽
Keyword(s):
1999 ◽
Vol 129
(1)
◽
pp. 153-163
◽
1966 ◽
Vol 9
(05)
◽
pp. 757-801
◽
1981 ◽
Vol 90
(1-2)
◽
pp. 71-105
◽