Abstract
In this paper, we prove for a more general semi-linear perturbation of linear harmonic spaces, the existence and the unicity of the solution of the Dirichlet problem and we apply our results for the non-linear stationary Schrödinger equation.
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Rhouma, N.B.H., Mosbah, M. Problème de Dirichlet relatif à une perturbation non lineaire des espaces harmoniques. Potential Analysis 8, 303–324 (1998). https://doi.org/10.1023/A:1017979530982
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DOI: https://doi.org/10.1023/A:1017979530982