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On the uniform vanishing property at infinity of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si10.svg" display="inline" id="d1e22"><mml:msup><mml:mrow><mml:mi>W</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:math>-sequences

Vincenzo Ambrosio

2023Nonlinear Analysis11 citationsDOIOpen Access PDF

Abstract

We prove that sequences of functions (un)⊂Ws,p(RN), with s∈(0,1) and p∈(1,Ns), bounded in Ws,p(RN), strongly convergent in LNpN−sp(RN) and solving nonlinear fractional p-Laplacian Schrödinger equations in RN, must vanish at infinity uniformly with respect to n∈N.

Topics & Concepts

Bounded functionInfinityLaplace operatorCombinatoricsMathematicsProperty (philosophy)Discrete mathematicsComputer scienceMathematical analysisPhilosophyEpistemologyNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringNumerical methods in inverse problems
On the uniform vanishing property at infinity of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si10.svg" display="inline" id="d1e22"><mml:msup><mml:mrow><mml:mi>W</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:math>-sequences | Litcius