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Solutions with boundary layer and positive peak for an elliptic Dirichlet problem |
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The RSE Scotland Foundation |
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10.1017/S0308210500003322 |
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| Abstract |
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In this paper, we study existence of solutions with boundary layer and peaks for an elliptic problem. We prove that the problem has a mountain-pass-type solution, which has a boundary layer and a single peak near the boundary. Moreover, we also study the existence of solutions with interior peak. |
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Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, 134A(3), p. 515-536 |
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