Next Article in Journal
Impacts of Thermal Radiation and Heat Consumption/Generation on Unsteady MHD Convection Flow of an Oldroyd-B Fluid with Ramped Velocity and Temperature in a Generalized Darcy Medium
Previous Article in Journal
Design and Analysis of a Non-Iterative Estimator for Target Location in Multistatic Sonar Systems with Sensor Position Uncertainties
Open AccessArticle

Multiplicity of Radially Symmetric Small Energy Solutions for Quasilinear Elliptic Equations Involving Nonhomogeneous Operators

Department of Mathematics Education, Sangmyung University, Seoul 03016, Korea
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(1), 128; https://doi.org/10.3390/math8010128
Received: 11 December 2019 / Revised: 10 January 2020 / Accepted: 10 January 2020 / Published: 15 January 2020
(This article belongs to the Section Difference and Differential Equations)
We investigate the multiplicity of radially symmetric solutions for the quasilinear elliptic equation of Kirchhoff type. This paper is devoted to the study of the L -bound of solutions to the problem above by applying De Giorgi’s iteration method and the localization method. Employing this, we provide the existence of multiple small energy radially symmetric solutions whose L -norms converge to zero. We utilize the modified functional method and the dual fountain theorem as the main tools.
Keywords: radial solution; quasilinear elliptic equations; De Giorgi iteration; modified functional methods; dual fountain theorem radial solution; quasilinear elliptic equations; De Giorgi iteration; modified functional methods; dual fountain theorem
MDPI and ACS Style

Lee, J.I.; Kim, Y.-H. Multiplicity of Radially Symmetric Small Energy Solutions for Quasilinear Elliptic Equations Involving Nonhomogeneous Operators. Mathematics 2020, 8, 128.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop