Existence of Ordered Solutions to Quasilinear Schr?dinger Equations with General Nonlinear Term

摘要

style="text-align:justify;"> In this paper, the existence of a pair of ordered solutions for the following class of equations in src="Edit_f9d640da-3acc-4770-8933-7d32a71e2563.bmp" alt="" /> style="font-family:Verdana;"> src="Edit_bfb82869-1778-4c0f-a79f-e6cd6a6d806b.bmp" alt="" /> style="font-family:Verdana;text-align:justify;">(1) style="text-align:justify;"> style="font-family:Verdana;">was studied. A bounded (PS) "="" style="font-family:Verdana;font-size:10pt;"> style="font-family:Verdana;">(Palais-Smale) sequence was constructed and the related variational principle was used to prove the existence of the positive solution. The existence of the ordered solutions is finally found.