Multiple solutions for a class of anisotropic p?-Laplacian problems

被引：5

作者：

Bonanno, G. ^{[1
]}

D'Agui, G. ^{[1
]}

Sciammetta, A. ^{[2
]}

机构：

[1] Univ Messina, Dept Engn, I-98166 Messina, Italy

[2] Univ Palermo, Dept Math & Comp Sci, I-90123 Palermo, Italy

来源：

BOUNDARY VALUE PROBLEMS | 2023年 / 2023卷 / 01期

关键词：

Anisotropic operator; Nonlinear elliptic equations; Critical point theory; DOUBLE-PHASE PROBLEMS; EIGENVALUE PROBLEM; SOBOLEV SPACES; SINGULAR ADVECTIONS; EXISTENCE; DIFFUSIONS; THEOREM;

D O I：

10.1186/s13661-023-01774-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we present some existence and multiplicity results for a class of anisotropic p(?)-Laplacian problems with Dirichlet boundary conditions. In particular, the existence of three solutions is pointed out. The approach is based on variational methods and our main tool is a three critical point theorem.

引用

页数：12

共 39 条

[1]

[Anonymous], 1981, Beitrge zur Anal

[2]

[Anonymous], 1979, Beitr. Anal

[3]

Antontsev S. N., 2002, Energy methods for free boundary problems: Applications to nonlinear PDEs and fluid mechanics, V48

[4] Three solutions for a quasilinear two-point boundary-value problem involving the one-dimensional p-laplacian [J].