For a given T>0,we prove,under the global ARS-condition and using the Nehari manifold method,the existence of a T-periodic solution having the W-symmetry introduced in[21],for the hamiltonian system z+V'(z)=0,z...For a given T>0,we prove,under the global ARS-condition and using the Nehari manifold method,the existence of a T-periodic solution having the W-symmetry introduced in[21],for the hamiltonian system z+V'(z)=0,z∈R^N,N∈N^*.Moreover,such a solution is shown to have T as a minimal period without relaying to any index theory.A multiplicity result is also proved under the same condition.展开更多
In this paper, we consider a class of Kirchhoff type problem with superlinear nonlinearity. A sign-changing solution with exactly two nodal domains will be obtained by combining the Nehari method and an iterative tech...In this paper, we consider a class of Kirchhoff type problem with superlinear nonlinearity. A sign-changing solution with exactly two nodal domains will be obtained by combining the Nehari method and an iterative technique.展开更多
Using Nehari manifold method combined with fibring maps,we show the existence of nontrivial,weak,positive solutions of the nonlinear y-Riemann-Liouville fractional boundary value problem involving the p-Laplacian oper...Using Nehari manifold method combined with fibring maps,we show the existence of nontrivial,weak,positive solutions of the nonlinear y-Riemann-Liouville fractional boundary value problem involving the p-Laplacian operator,given by(P){-t^(D)_(T)(|_(0)(D)_(T)^(a,ψ)(u(t))|_(0)^(p-2)D_(t)^(a,ψ)(u(t)))=λg(t)/uγ(t)+f(t,u(t)),t∈(0,T),u(0)=u(T)=0,where l>0,0<g<1<p and 1/p<a≤1,g2C([0,T])and f 2C1([0,T]×R,R)A useful examples are presented in order to illustrate the validity of our main results.展开更多
文摘For a given T>0,we prove,under the global ARS-condition and using the Nehari manifold method,the existence of a T-periodic solution having the W-symmetry introduced in[21],for the hamiltonian system z+V'(z)=0,z∈R^N,N∈N^*.Moreover,such a solution is shown to have T as a minimal period without relaying to any index theory.A multiplicity result is also proved under the same condition.
文摘In this paper, we consider a class of Kirchhoff type problem with superlinear nonlinearity. A sign-changing solution with exactly two nodal domains will be obtained by combining the Nehari method and an iterative technique.
文摘Using Nehari manifold method combined with fibring maps,we show the existence of nontrivial,weak,positive solutions of the nonlinear y-Riemann-Liouville fractional boundary value problem involving the p-Laplacian operator,given by(P){-t^(D)_(T)(|_(0)(D)_(T)^(a,ψ)(u(t))|_(0)^(p-2)D_(t)^(a,ψ)(u(t)))=λg(t)/uγ(t)+f(t,u(t)),t∈(0,T),u(0)=u(T)=0,where l>0,0<g<1<p and 1/p<a≤1,g2C([0,T])and f 2C1([0,T]×R,R)A useful examples are presented in order to illustrate the validity of our main results.
