The Neumann Problem for Semilinear Elliptic Equations with Critical Sobolev Exponent |
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| Authors: | Jan Chabrowski |
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| Institution: | (1) Department of Mathematics, University of Queensland, St. Lucia 4072, Qld, Australia |
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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.
Received: July 2006 |
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| Keywords: | 35B33 35J20 35J65 |
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