Naslov
Variational Characterisation of Nodal Solutions of a Sturm--Liouville Problem With Strong Nonlinearity

Autori
Čaklović, Lavoslav

Izvornik
Glasnik matematički (0017-095X) 46 (2011), 1; 167-188

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Critical point theory; Palais-Smale condition; Sturm--Liouville Problem; Nodal solutions

Sažetak
We consider sublinear Sturm-Liouville problem \begin{; ; ; align*}; ; ; -u^{; ; ; \prime \prime}; ; ; +\psi(t) |u |^{; ; ; p-1}; ; ; u &=\lambda u , \quad p>1, \\ u(0)&=u(1)=0 \end{; ; ; align*}; ; ; where $\psi$ is positive and continuous. Using the Nehari variational technique and critical point theory we prove that for each $n\in\N$ there is unique (up to the sign) $n$-nodal solution of the b.v.p.~which is the critical point of a restricted functional associated to the problem.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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