Dirichlet-Type Problems for Certain Beltrami Equations
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DOI: 10.1007/s00009-021-01760-2
Abstract: In this paper, we shall be interested in solving Dirichlet-type problems for solutions of certain classes of Beltrami equations, to be called $$\beta -$$ analytic. Orthogonal decomposition of the corresponding Sobolev space as well as… read more here.
Keywords: problems certain; dirichlet type; certain beltrami; type problems ... See more keywords
Zeta Functions of Discrete Self-similar Sets and Applications to Point Configuration and Sum–Product-Type Problems
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DOI: 10.1093/imrn/rny019
Abstract: In this paper we first prove analytical properties of zeta functions for discrete subsets of R that exhibit “self-similarity” with respect to an arbitrary finite set of (affine) similarities. We then show how such properties… read more here.
Keywords: type problems; point configuration; functions discrete; sum product ... See more keywords
Fractional Kirchhoff-type problems with exponential growth without the Ambrosetti–Rabinowitz condition
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DOI: 10.1515/ijnsns-2019-0171
Abstract: Abstract The main aim of this paper is to investigate the existence of nontrivial solutions for a class of fractional Kirchhoff-type problems with right-hand side nonlinearity which is subcritical or critical exponential growth (subcritical polynomial… read more here.
Keywords: kirchhoff type; growth; exponential growth; ambrosetti rabinowitz ... See more keywords