Boundary value problems of a class of nonlinear partial differential inclusions

Yi Cheng; Fuzhong Cong; Xiaoping Xue

doi:10.1016/j.nonrwa.2011.05.009

Boundary value problems of a class of nonlinear partial differential inclusions

Yi Cheng
, Fuzhong Cong^*
, Xiaoping Xue

^*Corresponding author for this work

School of Mathematics

Jilin University
Aviation University of Air Force

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

This paper deals with the boundary value problems of nonlinear partial differential inclusions, driven by a negative Laplacian, and with the multivalued term which contains the gradient. It is proved the existence of solutions for the inclusions with the convex and nonconvex valued perturbations. The existence of extremal solutions and a strong relaxation theorem are also obtained.

Original language	English
Pages (from-to)	3095-3102
Number of pages	8
Journal	Nonlinear Analysis: Real World Applications
Volume	12
Issue number	6
DOIs	https://doi.org/10.1016/j.nonrwa.2011.05.009
State	Published - Dec 2011

Keywords

Boundary value problem
Differential inclusion
Extremal solution
LeraySchauder alternative theorem

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10.1016/j.nonrwa.2011.05.009

Cite this

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title = "Boundary value problems of a class of nonlinear partial differential inclusions",

abstract = "This paper deals with the boundary value problems of nonlinear partial differential inclusions, driven by a negative Laplacian, and with the multivalued term which contains the gradient. It is proved the existence of solutions for the inclusions with the convex and nonconvex valued perturbations. The existence of extremal solutions and a strong relaxation theorem are also obtained.",

keywords = "Boundary value problem, Differential inclusion, Extremal solution, LeraySchauder alternative theorem",

author = "Yi Cheng and Fuzhong Cong and Xiaoping Xue",

year = "2011",

month = dec,

doi = "10.1016/j.nonrwa.2011.05.009",

language = "英语",

volume = "12",

pages = "3095--3102",

journal = "Nonlinear Analysis: Real World Applications",

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T1 - Boundary value problems of a class of nonlinear partial differential inclusions

AU - Cheng, Yi

AU - Cong, Fuzhong

AU - Xue, Xiaoping

PY - 2011/12

Y1 - 2011/12

N2 - This paper deals with the boundary value problems of nonlinear partial differential inclusions, driven by a negative Laplacian, and with the multivalued term which contains the gradient. It is proved the existence of solutions for the inclusions with the convex and nonconvex valued perturbations. The existence of extremal solutions and a strong relaxation theorem are also obtained.

AB - This paper deals with the boundary value problems of nonlinear partial differential inclusions, driven by a negative Laplacian, and with the multivalued term which contains the gradient. It is proved the existence of solutions for the inclusions with the convex and nonconvex valued perturbations. The existence of extremal solutions and a strong relaxation theorem are also obtained.

KW - Boundary value problem

KW - Differential inclusion

KW - Extremal solution

KW - LeraySchauder alternative theorem

UR - https://www.scopus.com/pages/publications/80052027007

U2 - 10.1016/j.nonrwa.2011.05.009

DO - 10.1016/j.nonrwa.2011.05.009

M3 - 文章

AN - SCOPUS:80052027007

SN - 1468-1218

VL - 12

SP - 3095

EP - 3102

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

IS - 6

ER -

Boundary value problems of a class of nonlinear partial differential inclusions

Abstract

Keywords

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