A Note on the Superlinear Ambrosetti-Prodi Type Problem in a Ball
Using a careful analysis of the Morse indices of the solutions obtained by using the Mountain Pass Theorem applied to the associated Euler- Lagrange functional acting both on the full space H 0 1 (Ω) and on its subspace H 0,r 1 (Ω) of radially symmetric functions we prove the existence of non-radially symmetric solutions of a problem of Ambrosetti-Prodi type in a ball.
KeywordsMountain Pass Theorem non-radial solutions Morse index concentration
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