We investigate a fractional p-Laplacian equation with right-hand-side nonlinearity which exhibits (p-1)-sublinear term of the formλ|u|q-2,q < p (concave term),and a continuous term f(x,u) which is respectively (p-...We investigate a fractional p-Laplacian equation with right-hand-side nonlinearity which exhibits (p-1)-sublinear term of the formλ|u|q-2,q < p (concave term),and a continuous term f(x,u) which is respectively (p-1)-superlinear or asymptotically (p-1)-linear at infinity.Some existence results for multiple nontrivial solutions are established by using variational methods combined with the Morse theory.展开更多
In this paper, we consider the existence of positive solutions of the semlinear elliptic boundary value problem with convex and concave nonlinearities, the results obtained improve and generalize some known results.
基金This research is supported by the NSFC(Nos.11661070,11764035 and 11571176).
文摘We investigate a fractional p-Laplacian equation with right-hand-side nonlinearity which exhibits (p-1)-sublinear term of the formλ|u|q-2,q < p (concave term),and a continuous term f(x,u) which is respectively (p-1)-superlinear or asymptotically (p-1)-linear at infinity.Some existence results for multiple nontrivial solutions are established by using variational methods combined with the Morse theory.
文摘In this paper, we consider the existence of positive solutions of the semlinear elliptic boundary value problem with convex and concave nonlinearities, the results obtained improve and generalize some known results.
