Multiple Solutions for a Nonlinear Dirichlet Problem via - Mathematics
Multiple Solutions for a Nonlinear Dirichlet Problem via - Mathematics
Multiple Solutions for a Nonlinear Dirichlet Problem via - Mathematics
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Theorem A. If f satisfies (f1), (f2), (f3), k ≥ 4 is an even number, and all<br />
the solutions of (0.1) are nondegenerate then problem (0.1)<br />
has at least five solutions: u1 = 0, u2 > 0 in Ω, u3 < 0 in Ω, u4, and u5.<br />
Moreover,<br />
(a) m(u4,J) = k.<br />
MULTIPLE SOLUTIONS FOR A NONLINEAR DIRICHLET PROBLEM VIA MORSE INDEX – 9➲<br />
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