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- W2034966439 abstract "Let $(M,g)$ be a smooth connected compact Riemannian manifold of finitedimension $ngeq 2$ with a smooth boundary $partial M$. We consider theproblem$$cases-varepsilon ^{2}Delta _{g}u+u=|u|^{p-2}u,quad u> 0 &text{ on }M,displaystylefrac{partial u}{partial nu }=0 & text{on }partial M,endcases$$where $nu $ is an exterior normal to $partial M$.The number of solutions of this problem depends on the topologicalproperties of the manifold. In particular we consider the LusternikSchnirelmann category of the boundary." @default.
- W2034966439 created "2016-06-24" @default.
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- W2034966439 date "2010-04-23" @default.
- W2034966439 modified "2023-09-26" @default.
- W2034966439 title "POSITIVE SOLUTIONS OF SINGULARLY PERTURBED NONLINEAR ELLIPTIC PROBLEM ON RIEMANNIAN MANIFOLDS WITH BOUNDARY" @default.
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