Multiple solutions for a class of $p(x)$-Laplacian equations involving the critical exponent
Volume 98 / 2010
Annales Polonici Mathematici 98 (2010), 91-102
MSC: Primary 35J60.
DOI: 10.4064/ap98-1-6
Abstract
We study the multiplicity of solutions for a class of $p(x)$-Laplacian equations involving the critical exponent. Under suitable assumptions, we obtain a sequence of radially symmetric solutions associated with a sequence of positive energies going toward infinity.