Critical exponents for semilinear equations of mixed elliptic-hyperbolic and degenerate types
Articolo
Data di Pubblicazione:
2003
Citazione:
Critical exponents for semilinear equations of mixed elliptic-hyperbolic and degenerate types / Daniela Lupo, Kevin R. Payne. - In: COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS. - ISSN 0010-3640. - 56(2003):3(2003), pp. 403-424.
Abstract:
For semilinear Gellerstedt equations with Tricomi, Goursat or Dirichlet boundary conditions we prove Pohozaev type identities
and derive non existence results that exploit an invariance of the linear part with respect to certain nonhomogeneous dilations. A critical exponent phenomenon of power type in the nonlinearity is
exhibited in these mixed elliptic hyperbolic or degenerate settings where the power is one less than the critical exponent in a relevant Sobolev imbedding.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Critical exponents, weighted Sobolev spaces, Hardy-Sobolev inequality, equations of mixed and degenerate types
Elenco autori:
Daniela Lupo, Kevin R. Payne
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