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Critical exponents for semilinear equations of mixed elliptic-hyperbolic and degenerate types

✍ Scribed by Lupo D., Payne K.R.

Book ID: 127404080
Year: 2000
Tongue: English
Weight: 245 KB
Category: Library

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📜 SIMILAR VOLUMES

Critical exponents for semilinear equati

Critical exponents for semilinear equations of mixed elliptic-hyperbolic and degenerate types

✍ Daniela Lupo; Kevin R. Payne 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 222 KB

## 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 o

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Some existence and multiplicity results are obtained for solutions of semilinear elliptic equations with Hardy terms, Hardy-Sobolev critical exponents and superlinear nonlinearity by the variational methods and some analysis techniques.