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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Sketch of the Proof of Theorem A:<br />
We finally prove (c). Let us suppose m(u5,J) = k. Writing u5 as<br />
u5 = x5 + ψ(x5), Lemma 1 asserts that m(x5, J) ˆ = k and so x5 is a local<br />
maximum of J.<br />
ˆ<br />
MULTIPLE SOLUTIONS FOR A NONLINEAR DIRICHLET PROBLEM VIA MORSE INDEX – 43➲<br />
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