Let us consider the following minimum problem
where , and . We show that there exists a critical value such that the minimizers have constant sign up to and then they are odd when .
Cite this article
Francesco Della Pietra, Gianpaolo Piscitelli, Saturation phenomena for some classes of nonlinear nonlocal eigenvalue problems. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 31 (2020), no. 1, pp. 131–150DOI 10.4171/RLM/883