@article{9781, abstract = {We consider the Pekar functional on a ball in ℝ3. We prove uniqueness of minimizers, and a quadratic lower bound in terms of the distance to the minimizer. The latter follows from nondegeneracy of the Hessian at the minimum.}, author = {Feliciangeli, Dario and Seiringer, Robert}, issn = {1095-7154}, journal = {SIAM Journal on Mathematical Analysis}, keywords = {Applied Mathematics, Computational Mathematics, Analysis}, number = {1}, pages = {605--622}, publisher = {Society for Industrial & Applied Mathematics }, title = {{Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball}}, doi = {10.1137/19m126284x}, volume = {52}, year = {2020}, }