We prove that the generalized pseudorelativistic equation (-c2 + m2c 2 1-s)su-m2sc 2s1-su + μu = |u|p-1u can be solved for large values of the "light speed" c even when p crosses the critical value for the fractional Sobolev embedding.
Secchi, S. (2019). A generalized pseudorelativistic Schrödinger equation with supercritical growth. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 21(8) [10.1142/S0219199718500736].
A generalized pseudorelativistic Schrödinger equation with supercritical growth
Secchi, S
2019
Abstract
We prove that the generalized pseudorelativistic equation (-c2 + m2c 2 1-s)su-m2sc 2s1-su + μu = |u|p-1u can be solved for large values of the "light speed" c even when p crosses the critical value for the fractional Sobolev embedding.
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