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Multiplicity results for $(p,\, q)$ fractional elliptic equations involving critical nonlinearities. (arXiv:1801.09925v2 [math.AP] UPDATED)
来源于:arXiv
In this paper we prove the existence of infinitely many nontrivial solutions
for the class of $(p,\, q)$ fractional elliptic equations involving
concave-critical nonlinearities in bounded domains in $\mathbb{R}^N$. Further,
when the nonlinearity is of convex-critical type, we establish the multiplicity
of nonnegative solutions using variational methods. In particular, we show the
existence of at least $cat_{\Omega}(\Omega)$ nonnegative solutions. 查看全文>>