For a bounded, open subset Ω of ℝN with N > 2, and a measurable function a(x) satisfying 0 < α ≤ a(x) ≤ β, a. e. x ∈ Ω, we study the existence of positive solutions of the Euler-Lagrange equation associated to the non-differentiable functional if γ > 0 and p > 1. Special emphasis is placed on the case 2* < p < 2*/2(γ + 2). © 2012 Springer-Verlag.
Critical points for functionals with quasilinear singular Euler-Lagrange equations / David, Arcoya; Boccardo, Lucio; Orsina, Luigi. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - STAMPA. - 47:1-2(2013), pp. 159-180. [10.1007/s00526-012-0514-3]
Critical points for functionals with quasilinear singular Euler-Lagrange equations
BOCCARDO, Lucio;ORSINA, Luigi
2013
Abstract
For a bounded, open subset Ω of ℝN with N > 2, and a measurable function a(x) satisfying 0 < α ≤ a(x) ≤ β, a. e. x ∈ Ω, we study the existence of positive solutions of the Euler-Lagrange equation associated to the non-differentiable functional if γ > 0 and p > 1. Special emphasis is placed on the case 2* < p < 2*/2(γ + 2). © 2012 Springer-Verlag.File allegati a questo prodotto
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
