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• W2005655499 abstract "We consider the problem where ω is a smooth domain in RN, not necessarily bounded, ∊<0 is a small parameter and f is a superlinear, subcritical nonlinearity. It is known that this equation possesses a solution that concentrates, as ∊ approaches zero, at a maximum of the function d(x, ∂ω)the distance to the boundary. We obtain single-peaked solutions associated to any topologically nontrivial critical point of the distance function such as for instance a local, possibly degenerate, saddle point. The construction relies on a variational localization argument to control a certain minmax value for an associated modified energy functional as well as on a precise asymptotic estimate for this energy level." @default.
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• W2005655499 date "2000-01-01" @default.
• W2005655499 modified "2023-10-15" @default.
• W2005655499 title "On the role of distance function in some singular perturbation problems" @default.
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• W2005655499 doi "https://doi.org/10.1080/03605300008821511" @default.
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