Existence of nontrivial radial solution for semilinear equation with critical or supercritical variable exponent



	Existence of nontrivial radial solution for semilinear equation with critical or supercritical variable exponent


	Fixed Point Theory, Volume 23, No. 2, 2022, 501-506, June 15th, 2022 DOI: 10.24193/fpt-ro.2022.2.05 Authors: Chang-Mu Chu and Ning Xu Abstract: This paper is devoted to study a class of semilinear elliptic equations with critical or supercritical variable exponents. By means of the mountain pass lemma, the existence of a nontrivial radial solution to this problem is obtained. Key Words and Phrases: Semilinear elliptic equation, variable exponent, nontrivial radial solution, mountain pass lemma. 2010 Mathematics Subject Classification: 35J20, 35J25, 35J50. Published on-line: June 15th, 2022. Abstract pdf Fulltext pdf Back to volume's table of contents