Exterior nonlinear Neumann problem |
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Authors: | Jan Chabrowski Zhi-Qiang Wang |
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Institution: | (1) Department of Mathematics, University of Queensland, St. Lucia, 4072, Qld, Australia;(2) Department of Mathematics and Statistics, Utah State University, Logan, UT 84322, USA |
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Abstract: | We consider the solvability of the Neumann problem for equation (1.1) in exterior domains in both cases: subcritical and critical.
We establish the existence of least energy solutions. In the subcritical case the coefficient
b(x) is allowed to have a potential well whose steepness is controlled by a parameter λ > 0. We show that least energy solutions
exhibit a tendency to concentrate to a solution of a nonlinear problem with mixed boundary value conditions. |
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Keywords: | 35B33 35J20 35J65 |
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