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| On a Quasilinear Elliptic Equation with Superlinear Nonlinearities |
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Citation： |
Gao JIA,Lina HUANG,Xiaojuan ZHANG.On a Quasilinear Elliptic Equation with Superlinear Nonlinearities[J].Chinese Annals of Mathematics B,2016,37(2):309~322 |
| Page view： 6525
Net amount： 3959 |
Authors： |
Gao JIA; Lina HUANG;Xiaojuan ZHANG |
Foundation： |
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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| 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 $\mathbb{R}^{N}$. 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. |
Keywords： |
Weighted Sobolev space, Superlinear, Quasilinear elliptic equation |
Classification： |
35H30, 35J50, 65L60 |
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