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Abstract Let n ∈ { 2 , 3 , 4 , … } , N ∈ { 1 , 2 , 3 , … } and p ∈ ( 1… Click to show full abstract
Abstract Let n ∈ { 2 , 3 , 4 , … } , N ∈ { 1 , 2 , 3 , … } and p ∈ ( 1 , 2 − 1 n ] . Let β ∈ ( 1 , ∞ ) be such that n p n − p β ′ n n ( 2 − p ) − 1 and f ∈ L β ( R n , R N ) . Consider the p-Laplace system − Δ p u = − div ( | D u | p − 2 D u ) = f in R n . We obtain a weighted gradient estimate for weak solutions of this system.
Keywords:
system;
weighted gradient;
laplace system;
gradient estimates;
estimates class
Journal Title: Journal of Differential Equations
Year Published: 2021
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Journal Title: Journal of Differential Equations
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!