Multiple solutions for nonlinear boundary value problems of Kirchhoff type on a double phase setting

被引：17

作者：

Fiscella, Alessio ^{[1
]}

Marino, Greta ^{[2
]}

Pinamonti, Andrea ^{[3
]}

Verzellesi, Simone ^{[3
]}

机构：

[1] Univ Milano Bicocca, Dipartimento Matemat & Applicazioni, Via Cozzi 55, I-20125 Milan, Italy

[2] Univ Augsburg, Inst Math, Univ Str 12a, D-86159 Augsburg, Germany

[3] Univ Trento, Dipartimento Matemat, Via Sommar 14, I-38123 Povo, Trento, Italy

来源：

REVISTA MATEMATICA COMPLUTENSE | 2024年 / 37卷 / 01期

基金：

巴西圣保罗研究基金会;

关键词：

Kirchhoff coefficients; Double phase problems; Nonlinear boundary conditions; Variational methods; EXISTENCE; REGULARITY; EIGENVALUES; MINIMIZERS; CALCULUS;

D O I：

10.1007/s13163-022-00453-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with some classes of Kirchhoff type problems on a double phase setting and with nonlinear boundary conditions. Under general assumptions, we provide multiplicity results for such problems in the case when the perturbations exhibit a suitable behavior in the origin and at infinity, or when they do not necessarily satisfy the Ambrosetti-Rabinowitz condition. To this aim, we combine variational methods, truncation arguments and topological tools.

引用

页码：205 / 236

页数：32

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