GLOBAL MULTIPLICITY OF SOLUTIONS FOR A QUASILINEAR ELLIPTIC EQUATION WITH CONCAVE AND CONVEX NONLINEARITIES

被引：0

作者：

Chen, Siyu ^{[1
]}

Santos, Carlos Alberto ^{[2
]}

Yang, Minbo ^{[1
]}

Zhou, Jiazheng ^{[2
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

[2] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS | 2021年 / 26卷 / 9-10期

关键词：

POSITIVE SOLUTIONS; SCHRODINGER-EQUATIONS; LOCAL SUPERLINEARITY; SOLITON-SOLUTIONS; CRITICAL GROWTH; R-N; EXISTENCE; EXPONENT;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the modified elliptic problem -Delta u - u Delta u(2) = a(x)u(alpha) + lambda b(x)u(beta) in Omega with u(x) = 0 on partial derivative Omega, where Omega subset of R-N is a regular domain and N >= 3, 0< a(x) is an element of C(Omega) boolean AND L-infinity (Omega), b(x) is an element of C(Omega) boolean AND L-infinity (Omega), 0 < alpha < 1 < beta < infinity and lambda > 0 is a parameter. By using sub- and super-solutions methods and variational methods, we establish the existence of two nontrivial solutions for the modified equation with appropriate exponents alpha, beta and potentials a(x), b(x).

引用

页码：425 / 458

页数：34

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