Existence of solutions for elliptic equations without superquadraticity condition
Yimin Zhang , Yaotian Shen
Front. Math. China ›› 2012, Vol. 7 ›› Issue (3) : 587 -595.
Existence of solutions for elliptic equations without superquadraticity condition
By weakening or dropping the superquadraticity condition (SQC), the existence of positive solutions for a class of elliptic equations is established. In particular, we deal with the asymptotical linearities as well as the superlinear nonlinearities.
Mountain pass / superquadraticity condition (SQC) / Palais-Smale type condition / weakly superquadraticity condition (WSQC)
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