Abstract
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.
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Zhang, Y., Shen, Y. Existence of solutions for elliptic equations without superquadraticity condition. Front. Math. China 7, 587–595 (2012). https://doi.org/10.1007/s11464-012-0211-8
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DOI: https://doi.org/10.1007/s11464-012-0211-8
Keywords
- Mountain pass
- superquadraticity condition (SQC)
- Palais-Smale type condition
- weakly superquadraticity condition (WSQC)