Zeitschrift für Analysis und ihre Anwendungen
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Published online: 2018-10-18
A Note on Leighton's Variational Lemma for Fractional Laplace EquationsJagmohan Tyagi (1) Indian Institute of Technology Gandhinagar, India
In this note, we establish Leighton's variational lemma for fractional Laplace equations. We use the classical techniques to establish this variational lemma. We also point out several questions concerning the zeros of the solutions to fractional Laplace equations which play an important role in the qualitative theory of fractional Laplace equations.
Keywords: Fractional Laplacian, variational methods, Leighton's variational lemma
Tyagi Jagmohan: A Note on Leighton's Variational Lemma for Fractional Laplace Equations. Z. Anal. Anwend. 37 (2018), 461-473. doi: 10.4171/ZAA/1632