# Solutions on a torus for a semilinear equation

@article{Allain2011SolutionsOA, title={Solutions on a torus for a semilinear equation}, author={G. Allain and Anne Beaulieu}, journal={Proceedings of the Royal Society of Edinburgh: Section A Mathematics}, year={2011}, volume={141}, pages={371 - 382} }

We are interested in the positive doubly periodic solutions, which are even in each variable, of a stationary nonlinear Schrödinger equation in ℝ2, with a small parameter. For any pair of periods (2a, 2b), we construct a branch of solutions that concentrate uniformly to the ground-state solution of the equation.

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