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| We are concerned with extremal solutions for the mixed boundary value problem
$$-(r^{N-1}\phi(u'))'=r^{N-1}g(r,u), \quad\quad u'(0)=0=u(R),$$
where $g : [0,R]\times\mathbb{R}\to\mathbb{R}$ is a continuous function and $\phi:(-\eta,\eta)\to\mathbb{R}$\ is an increasing homeomorphism with $\phi(0)=0.$ We prove the existence of minimal and maximal solutions in presence of well-ordered lower and upper solutions and we develop a numerical algorithm for theirs approximation. The talk is based on joint work with Petru Jebelean and Constantin Popa. |
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