Geodesic
Gradient estimates for the $p(x)$-Laplacian equation in $\mathbb R^N$
Chao Zhang1 ; Shulin Zhou2 ; Bin Ge3
1Department of Mathematics Harbin Institute of Technology Harbin 150001, China
2LMAM, School of Mathematical Sciences Peking University Beijing 100871, China
3Department of Mathematics Harbin Engineering University Harbin 150001, China
Annales Polonici Mathematici, Tome 114 (2015) no. 1, pp. 45-65
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Under some assumptions on the function $p(x)$, we obtain global gradient estimates for weak solutions of the $p(x)$-Laplacian type equation in $\mathbb R^N$.
DOI : 10.4064/ap114-1-4
Keywords: under assumptions function obtain global gradient estimates weak solutions laplacian type equation mathbb

Chao Zhang  1   ; Shulin Zhou  2   ; Bin Ge  3

1 Department of Mathematics Harbin Institute of Technology Harbin 150001, China
2 LMAM, School of Mathematical Sciences Peking University Beijing 100871, China
3 Department of Mathematics Harbin Engineering University Harbin 150001, China 
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     title = {Gradient estimates for the $p(x)${-Laplacian} equation in $\mathbb R^N$},
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Chao Zhang; Shulin Zhou; Bin Ge. Gradient estimates for the $p(x)$-Laplacian equation in $\mathbb R^N$. Annales Polonici Mathematici, Tome 114 (2015) no. 1, pp. 45-65. doi: 10.4064/ap114-1-4

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