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
In this paper we will be concerned with the problem -ΔU-1/2Δ(a(x)u^(2))u+v(x)u=f(u),x∈R^(2),where V is a potential continuous and f:R→R is a superlinear continuous function with exponential subcritical or exponent...In this paper we will be concerned with the problem -ΔU-1/2Δ(a(x)u^(2))u+v(x)u=f(u),x∈R^(2),where V is a potential continuous and f:R→R is a superlinear continuous function with exponential subcritical or exponential critical growth.We use as a main tool the Nehari manifold method in order to show existence of nonnegative solutions and existence of nodal solutions.Our results complement the classical result of“Solutions for quasilinear Schrdinger equations via the Nehari method”due to Jia–Quan Liu,Ya–Qi Wang and Zhi-Qiang Wang in the sense that in this article we are considering nonlinearity of the exponential type.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In this paper we will be concerned with the problem -ΔU-1/2Δ(a(x)u^(2))u+v(x)u=f(u),x∈R^(2),where V is a potential continuous and f:R→R is a superlinear continuous function with exponential subcritical or exponential critical growth.We use as a main tool the Nehari manifold method in order to show existence of nonnegative solutions and existence of nodal solutions.Our results complement the classical result of“Solutions for quasilinear Schrdinger equations via the Nehari method”due to Jia–Quan Liu,Ya–Qi Wang and Zhi-Qiang Wang in the sense that in this article we are considering nonlinearity of the exponential type.
