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Poincaré-Sobolev equations in the hyperbolic space - MaRDI portal

Poincaré-Sobolev equations in the hyperbolic space (Q2428583)

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Poincaré-Sobolev equations in the hyperbolic space
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    Poincaré-Sobolev equations in the hyperbolic space (English)
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    26 April 2012
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    The authors study the a priori estimates, existence and nonexistence of radial sign changing solutions and the Palais-Smale characterization of a problem involving the Laplace Beltrami operator. Next the existence of sign changing solutions to the Hardy-Sobolev-Mazya equation and the critical Grushin problem are considered.
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    existence and nonexistence results
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    Hardy-Sobolev-Mazya equation
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    Laplace Beltrami operator
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