In this paper the existence of infinitely many eigenvalues for the non linear boundary value problem {Mathematical expression} Ωt Rn bounded and {Mathematical expression} (λ1, λ2)where λ1and λ2are the first and the second eigenvalue of - Δ respectively. The eigenvalues are characterized by the critical levels of a suitable functional on a smooth unbounded manifold. The usual method is not applicable because the functional is not positive definite and the Palais-Smale condition is not satisfied. We applies a technique introduced in a preceding paper [3]

Sull'esistenza di autovalori per un problema al contorno non lineare / Cerami, Giovanna. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - STAMPA. - 124:1(1980), pp. 161-179. [10.1007/BF01795391]

Sull'esistenza di autovalori per un problema al contorno non lineare

Giovanna Cerami
1980-01-01

Abstract

In this paper the existence of infinitely many eigenvalues for the non linear boundary value problem {Mathematical expression} Ωt Rn bounded and {Mathematical expression} (λ1, λ2)where λ1and λ2are the first and the second eigenvalue of - Δ respectively. The eigenvalues are characterized by the critical levels of a suitable functional on a smooth unbounded manifold. The usual method is not applicable because the functional is not positive definite and the Palais-Smale condition is not satisfied. We applies a technique introduced in a preceding paper [3]
1980
Sull'esistenza di autovalori per un problema al contorno non lineare / Cerami, Giovanna. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - STAMPA. - 124:1(1980), pp. 161-179. [10.1007/BF01795391]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/5590
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