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The main purpose of this paper is to investigate the existence of nontrivial solutions to a class of quasilinear non-local problems which do not satisfy the Ambrosetti–Rabinowitz (AR) condition where… Click to show full abstract
The main purpose of this paper is to investigate the existence of nontrivial solutions to a class of quasilinear non-local problems which do not satisfy the Ambrosetti–Rabinowitz (AR) condition where the nonlinear terms are superlinear at 0 and of subcritical or critical exponential growth (subcritical polynomial growth) at $$\infty $$∞. Some existence results for nontrivial solution are obtained using mountain pass theorem combined with the fractional Moser–Trudinger inequality.
Keywords:
subcritical critical;
ambrosetti rabinowitz;
critical exponential;
rabinowitz condition;
growth;
exponential growth
Journal Title: Mediterranean Journal of Mathematics
Year Published: 2018
Link to full text (if available)
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Journal Title: Mediterranean Journal of Mathematics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!