Nonautonomous fractional problems with exponential growth
Jo\~ao Marcos do \'O, Olimpio H. Miyagaki, Marco Squassina
TL;DR
This paper investigates a class of nonlinear non-autonomous nonlocal equations with exponential growth, focusing on existence and behavior of solutions when the potential may vanish at infinity.
Contribution
It introduces new analytical techniques for handling non-autonomous fractional problems with exponential nonlinearities and potentials that vanish at infinity.
Findings
Existence of solutions under certain conditions
Behavior of solutions with vanishing potentials
Extension of fractional problem analysis to exponential nonlinearities
Abstract
We study a class of nonlinear non-autonomous nonlocal equations with subcritical and critical exponential nonlinearity. The involved potential can vanish at infinity.
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Taxonomy
TopicsNonlinear Differential Equations Analysis · advanced mathematical theories · Nonlinear Partial Differential Equations