Ground States of some Fractional Schrödinger Equations on â,, N
Ground States of some Fractional Schrödinger Equations on â,, N
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Cambridge: Cambridge University Press
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English
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Cambridge: Cambridge University Press
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Abstract In this paper, we study a time-independent fractional Schrödinger equation of the form (-Δ) s u + V(x)u = g(u) in â,, N , where N ≥, s ∈ (0,1) and (-Δ) s is the fractional Laplacian. By variational methods, we prove the existence of ground state solutions when V is unbounded and the nonlinearity g is subcritical and satisfies the following...
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Ground States of some Fractional Schrödinger Equations on â,, N
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TN_cdi_proquest_journals_1678852789
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_1678852789
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0013-0915
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1464-3839
DOI
10.1017/S0013091514000200
