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The Neumann Problem for Semilinear Elliptic Equations with Critical Sobolev Exponent

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Abstract.

In this survey article we discuss the existence and the properties of least energy solutions of a semilinear critical Neumann problem. The main focus is on the joint effect of the shape of the graph of coefficients of the critical nonlinearities and the geometry of the boundary on the existence of solutions.

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Authors and Affiliations

  1. Department of Mathematics, University of Queensland, St. Lucia 4072, Qld, Australia

    Jan Chabrowski

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  1. Jan Chabrowski
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Correspondence to Jan Chabrowski.

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Lecture held in the Seminario Matematico e Fisico on May 16, 2006

Received: July 2006

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Chabrowski, J. The Neumann Problem for Semilinear Elliptic Equations with Critical Sobolev Exponent. Milan j. math. 75, 197–224 (2007). https://doi.org/10.1007/s00032-006-0065-1

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  • DOI: https://doi.org/10.1007/s00032-006-0065-1

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