Nonexistence results for a class of nonlinear elliptic equations involving critical Sobolev exponents
Articolo
Data di Pubblicazione:
2007
Citazione:
Nonexistence results for a class of nonlinear elliptic equations involving critical Sobolev exponents / C.Tarsi. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 66:11(2007), pp. 2520-2528.
Abstract:
In this paper we prove nonexistence results for some classes of nonlinear elliptic equations with critical growth of the form
where 2*=2N/(N−2), g(x,u) is a lower-order perturbation of u2*−1 and Ω is a bounded, strictly star-shaped domain in , N≥3. Combining Pohozaev’s identity with classical and weak interpolation inequality, we are able to exhibit examples of nonlinear problems without any (nontrivial) solution bifurcating from infinity in λ=0, for N=3 and N=4.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Nonexistence results; Critical Sobolev exponent; Pohozaev identity
Elenco autori:
C.Tarsi
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