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Concentration phenomenon in the critical exponent problems on hyperbolic space
Published in Taylor and Francis Ltd.
This article deals with the study of the following critical exponent problem (Formula presented.) where Hn is the n-dimensional hyperbolic space, n ≥ 4, p = 2n/(n − 2) is the critical exponent, λ,μ > 0 are real parameters, ΔHn denotes the Laplace–Beltrami operator on Hn and g(x) is a real valued potential function on Hn. Using variational methods, we establish the existence of positive ground state solution to (Pλ,μ) and study the convergence of these solutions when μ approaches +∞. © 2020, © 2020 Informa UK Limited, trading as Taylor & Francis Group.
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JournalData powered by TypesetApplicable Analysis
PublisherData powered by TypesetTaylor and Francis Ltd.