Existence and Concentration of Solutions for a Class of Kirchhoff-Boussinesq Equation with Exponential Growth in R4

被引：0

作者：

Carlos, Romulo D. ^{[1
]}

Costa, Gustavo S. A. ^{[2
]}

Figuereido, Giovany M. ^{[1
]}

机构：

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

[2] Univ Fed Maranhao, Dept Matemat, CCET, BR-65080805 Sao Luis, MA, Brazil

来源：

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2024年 / 55卷 / 02期

关键词：

Kirchhoff-Boussinesq; Nehari manifold; INEQUALITY;

D O I：

10.1007/s00574-024-00388-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the existence and concentration of ground state solutions for the following class of elliptic Kirchhoff-Boussinesq type problems given by Delta(2)u +/-Delta(p)u+(1+lambda V(x))u=f(u) inR(4), where 2<p<4,f is an element of C(R,R)is a nonlinearity which has subcritical or critical exponential growth at infinity and V is an element of C(R-4,R)is a potential that vanishes on a bounded domain Omega subset of R-4.Using variational methods, we show the existence of ground state solutions, which concentrates on a ground state solution of a Kirchhoff-Boussinesq type equation in Omega.

引用

页数：24

共 25 条

[1] Existence of solutions for anisotropic Kirchhoff-Boussinesq equations with exponential growth
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[4] Existence and Concentration of Solutions for a Class of Kirchhoff–Boussinesq Equation with Exponential Growth in R4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {R}}^4$$\end{document}
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Bulletin of the Brazilian Mathematical Society, New Series, 2024, 55 (2)
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[8] Existence of solutions for a fractional Choquard-type equation in R with critical exponential growth
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[9] EXISTENCE OF MULTIPLE SOLUTIONS TO ELLIPTIC PROBLEMS OF KIRCHHOFF TYPE WITH CRITICAL EXPONENTIAL GROWTH
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[10] MULTIPLE SOLUTIONS OF A FOURTH-ORDER NONHOMOGENEOUS EQUATION WITH CRITICAL GROWTH IN R4
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