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논문

[기관장]A condition for blow-up solutions to discrete p-Laplacian parabolic equations under the mixed boundary conditions on networks

https://doi.org/10.1186/s13661-019-01294-3

  • 저자Soon-Yeong Chung, Min-Jun Choi & Jaeho Hwang
  • 학술지Boundary Value Problems 2019:180
  • 등재유형
  • 게재일자(2019)


In this paper, we investigate the condition


for some, and, where, and is the first eigenvalue of the discrete p-Laplacian . Using this condition, we obation blow-up solutions to discrete p-Laplacian parabolic equations


on a discrete network S, where denotes the discrete p-normal derivative. Here and are nonnegative functions on the boundary as of S with . In fact, we will see that condition improves the conditions known so far.


In this paper, we investigate the condition


for some, and, where, and is the first eigenvalue of the discrete p-Laplacian . Using this condition, we obation blow-up solutions to discrete p-Laplacian parabolic equations


on a discrete network S, where denotes the discrete p-normal derivative. Here and are nonnegative functions on the boundary as of S with . In fact, we will see that condition improves the conditions known so far.

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