Abstract
We extend the results of Akahori et al. (2019) on ground states. We discuss the existence of ground states to the double-type nonlinear -Laplace problem involving the Sobolev critical exponent in :
where , , , , is the Sobolev critical index, is the -Laplace operator. We show that: (i) if , then there exists so that ground states exist for all ; (ii) if , then there exist ground states for all .
Citation
Yunfeng Cui. Shiwang Ma. Lixia Wang. "EXISTENCE OF GROUND STATES TO THE DOUBLE-TYPE NONLINEAR -LAPLACE PROBLEM INVOLVING SOBOLEV CRITICAL EXPONENT." Rocky Mountain J. Math. 53 (6) 1749 - 1765, December 2023. https://doi.org/10.1216/rmj.2023.53.1749
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