On the number of interior peak solutions for a singularly perturbed Neumann problem

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How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Infinitely many solutions for the prescribed scalar curvature problem on SN (2010, unknown): “This is partly motivated by recent paper of Lin-Ni-Wei [23] where they constructed multiple spikes to a singularly perturbed problem.”
Infinitely many positive solutions for nonlinear equations with non-symmetric potentials (2012, background): “We refer to [34], [31] and further improvements in [4].”
Infinitely many positive solutions for the nonlinear Shcrodinger equations in $R^N$ (2008, methodology): “This is partly motivated by recent paper of Lin-Ni-Wei [23] where they constructed multiple spikes to a singularly perturbed problem.”
Infinitely many solution for prescribed curvature problem on $S^N$ (2008, unknown): “This is partly motivated by recent paper of Lin-Ni-Wei [23] where they constructed multiple spikes to a singularly perturbed problem.”
The toda system and multiple-end solutions of autonomous planar elliptic problems (2007, background): “We refer the reader to [2, 3, 7, 11, 12, 13, 16, 20, 21, 27, 29, 30, 39, 37, 38] and references therein.”
Intermediate reduction method and infinitely many positive solutions of nonlinear Schrödinger equations with non-symmetric potentials (2015, background): “This idea comes directly from [43] and goes back at least as far as to [30].”