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math.AP2013
Multiple solutions for Dirichlet nonlinear BVPs involving fractional Laplacian
Tadeusz Kulczycki, Robert Stanczy
The existence of at least two solutions to superlinear integral equation in cone is proved using the Krasnosielskii Fixed Point Theorem. The result is applied to the Dirichlet BVPs…
math.AP2013
Bifurcation diagrams and multiplicity for nonlocal elliptic equations modeling gravitating systems based on Fermi-Dirac statistics
Jean Dolbeault, Robert Stanczy
This paper is devoted to multiplicity results of solutions to nonlocal elliptic equations modeling gravitating systems. By considering the case of Fermi-Dirac statistics as a singu…
math.AP2009★ 36 cited
Non-existence and uniqueness results for supercritical semilinear elliptic equations
Jean Dolbeault, Robert Stanczy
Non-existence and uniqueness results are proved for several local and non-local supercritical bifurcation problems involving a semilinear elliptic equation depending on a parameter…