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5 papers · 1 filter
Existence result for fractional problems with logarithmic and critical exponential nonlinearities
Yuanyuan Zhang, Yang Yang
We study the existence of nontrivial solutions for a nonlinear fractional elliptic equation in presence of logarithmic and critical exponential nonlinearities. This problem extends…
Effect of spatial average on the spatiotemporal pattern formation of reaction-diffusion systems
Qingyan Shi, Junping Shi, Yongli Song
Some quantities in the reaction-diffusion models from cellular biology or ecology depend on the spatial average of density functions instead of local density functions. We show tha…
Critical fractional -Laplacian problems with possibly vanishing potentials
Kanishka Perera, Marco Squassina, Yang Yang
We obtain nontrivial solutions of a critical fractional -Laplacian equation in the whole space and with possibly vanishing potentials. In addition to the usual difficulty of the…
Bifurcation and multiplicity results for critical fractional p-Laplacian problems
Kanishka Perera, Marco Squassina, Yang Yang
In this paper we investivate bifurcation results for a class of problem in a smooth bounded domain involving the fractional p-Laplacian operator and with a nonlinearity that reache…
Existence and nondegeneracy of ground states in critical free boundary problems
Yang Yang, Kanishka Perera
Existence and regularity of minimizers in elliptic free boundary problems have been extensively studied in the literature. The corresponding study of higher critical points was rec…