Julián Fernández Bonder, Ariel M. Salort
Published 2019-10-10Version 1
In this paper we deal with the stability of solutions of fractional $p-$Laplace problems with nonlinear sources when the fractional parameter $s$ goes to 1. We prove a general convergence result for general weak solutions which is applied to study the convergence of ground state solutions of $p-$fractional problems in bounded and unbounded domains as $s$ goes to 1. Moreover, our result applies to treat the stability of $p-$fractional eigenvalues as $s$ goes to 1.
Ground State Solutions of the Complex Gross Pitaevskii Equation Associated to Exciton-Polariton Bose-Einstein Condensates
Existence of ground state solutions to Dirac equations with vanishing potentials at infinity
The existence of ground state solutions for nonlinear p-Laplacian equations on lattice graphs
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