Three nontrivial solutions for nonlinear fractional Laplacian equations Article Swipe
Related Concepts
Sublinear function
Mathematics
Morse theory
Mountain pass theorem
Infinity
Fractional Laplacian
Mountain pass
Nonlinear system
Term (time)
Mathematical analysis
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Dirichlet distribution
Type (biology)
Dirichlet problem
Laplace operator
Zero (linguistics)
Physics
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Fatma Gamze Düzgün
,
Antonio Iannizzotto
·
YOU?
·
· 2018
· Open Access
·
· DOI: https://doi.org/10.1515/anona-2016-0090
· OA: W2964091485
YOU?
·
· 2018
· Open Access
·
· DOI: https://doi.org/10.1515/anona-2016-0090
· OA: W2964091485
We study a Dirichlet-type boundary value problem for a pseudodifferential equation driven by the fractional Laplacian, proving the existence of three nonzero solutions. When the reaction term is sublinear at infinity, we apply the second deformation theorem and spectral theory. When the reaction term is superlinear at infinity, we apply the mountain pass theorem and Morse theory.
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