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.
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.
Nonexistence results for a class of nonlinear elliptic equations involving critical Sobolev exponents
C.TarsiPrimo
2007
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.Pubblicazioni consigliate
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