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Abstract The main aim of this paper is to investigate the existence of nontrivial solutions for a class of fractional Kirchhoff-type problems with right-hand side nonlinearity which is subcritical or… Click to show full abstract
Abstract The main aim of this paper is to investigate the existence of nontrivial solutions for a class of fractional Kirchhoff-type problems with right-hand side nonlinearity which is subcritical or critical exponential growth (subcritical polynomial growth) at infinity. However, it need not satisfy the Ambrosetti–Rabinowitz (AR) condition. Some existence results of nontrivial solutions are established via Mountain Pass Theorem combined with the fractional Moser–Trudinger inequality.
Keywords:
kirchhoff type;
growth;
exponential growth;
ambrosetti rabinowitz;
fractional kirchhoff;
type problems
Journal Title: International Journal of Nonlinear Sciences and Numerical Simulation
Year Published: 2021
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Journal Title: International Journal of Nonlinear Sciences and Numerical Simulation
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!