Oblique derivative problem in a plane sector for strong quasi-linear elliptic equation with p-Laplacian

被引：0

作者：

Borsuk, Mikhail ^{[1
]}

机构：

[1] Univ Warmia & Mazury, Fac Math & Comp Sci, Olsztyn, Poland

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2024年 / 69卷 / 06期

关键词：

Oblique problem; singular equation; p-Laplacian; corner point; BOUNDARY; EXISTENCE; BEHAVIOR;

D O I：

10.1080/17476933.2023.2166496

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the behavior near the boundary corner point of weak bounded solutions to the oblique derivative problem for singular p-Laplacian equation with strong nonlinearities singular absorption term in a bounded plane sector. However, no work has been done for investigating the behavior of solutions to the oblique problem for singular p-Laplacian equation in a corner.

引用

页码：873 / 897

页数：25

共 50 条

[41] The Cauchy problem for a parabolic p-Laplacian equation with combined nonlinearities [J].

Lu, Heqian ;

Zhang, Zhengce .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 514 (02)

[42] SOLVABILITY OF A NONLINEAR INVERSE PROBLEM FOR A PSEUDOPARABOLIC EQUATION WITH P-LAPLACIAN [J].

Shakir, A. ;

Kabidoldanova, A. ;

Khompysh, Kh .

JOURNAL OF MATHEMATICS MECHANICS AND COMPUTER SCIENCE, 2021, 110 (02) :35-46

[43] Nodal Solutions for a Quasilinear Elliptic Equation Involving the p-Laplacian and Critical Exponents [J].

Deng, Yinbin ;

Peng, Shuangjie ;

Wang, Jixiu .

ADVANCED NONLINEAR STUDIES, 2018, 18 (01) :17-40

[44] An inverse problem for generalized Kelvin-Voigt equation with p-Laplacian and damping term [J].

Antontsev, S. N. ;

Khompysh, Kh .

INVERSE PROBLEMS, 2021, 37 (08)

[45] AN INVERSE SOURCE PROBLEM FOR A NONLINEAR PSEUDOPARABOLIC EQUATION WITH P-LAPLACIAN DIFFUSION AND DAMPING TERM [J].

Khompysh, Khonatbek ;

Shakir, Aidos Ganizhanuly .

QUAESTIONES MATHEMATICAE, 2023, 46 (09) :1889-1914

[46] A remark on the existence and multiplicity result for a nonlinear elliptic problem involving the p-Laplacian [J].

G. A. Afrouzi ;

S. H. Rasouli .

Nonlinear Differential Equations and Applications NoDEA, 2009, 16

[47] A singular elliptic problem involving fractional p-Laplacian and a discontinuous critical nonlinearity [J].

Saoudi, Kamel ;

Panda, Akasmika ;

Choudhuri, Debajyoti .

JOURNAL OF MATHEMATICAL PHYSICS, 2021, 62 (07)

[48] A remark on the existence and multiplicity result for a nonlinear elliptic problem involving the p-Laplacian [J].

Afrouzi, G. A. ;

Rasouli, S. H. .

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2009, 16 (06) :717-730

[49] Cauchy problem of a nonlocal p-Laplacian evolution equation with nonlocal convection [J].

Sun, Jiebao ;

Li, Jing ;

Liu, Qiang .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2014, 95 :691-702

[50] Linear convergence of an adaptive finite element method for the p-Laplacian equation [J].

Diening, Lars ;

Kreuzer, Christian .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 2008, 46 (02) :614-638

← 1 2 3 4 5 →