Abstract
This work is devoted to studying a quasilinear elliptic boundary value problem with superlinear nonlinearities in a weighted Sobolev space in a domain of RN. Based on the Galerkin method, Brouwer’s theorem and the weighted compact Sobolev-type embedding theorem, a new result about the existence of solutions is revealed to the problem.
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This work was supported by the National Natural Science Foundation of China (No. 11171220), the Shanghai Leading Academic Discipline Project (No.XTKX2012) and the Hujiang Foundation of China (No. B14005).
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Jia, G., Huang, L. & Zhang, X. On a quasilinear elliptic equation with superlinear nonlinearities. Chin. Ann. Math. Ser. B 37, 309–322 (2016). https://doi.org/10.1007/s11401-016-0945-9
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DOI: https://doi.org/10.1007/s11401-016-0945-9