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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REMARK:<br />
We prove the existence of u2 and u3 using mountain pass arguments of<br />
the Ambrosetti-Rabinowitz type.<br />
We show the existence of u4 by using Lyapunov-Schmidt arguments to<br />
reduce the solvability of (0.1) to a finite dimensional problem.<br />
We use degree theory to show the existence of u5.<br />
MULTIPLE SOLUTIONS FOR A NONLINEAR DIRICHLET PROBLEM VIA MORSE INDEX – 15➲<br />
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