We investigate a class of fractional linearly coupled Choquard systems. For the subcritical case and all critical cases, we prove existence, nonexistence symmetry positive ground state solutions systems, by using Nehari manifold method, Pohožaev identity Schwartz symmetrization rearrangements. In particular, overcome lack compactness nonlinearities behaviour sufficiently small energy levels.

and Applied Analysis 3 conditions on masses and location of singularities for the minimum to be achieved. In 9 , both the case of the whole R and bounded domains are taken into account. To proceed, wemake somemotivations of the present paper. In 6 , the authors studied more general problem than problem 1.5 with μ ∈ 0, μ , s 0, and they proved that there exists Λ > 0 such that problem 1.5 has at...

In the present paper we initiate variational analysis of a super sinh-Gordon system on compact surfaces, yielding first example non-trivial solution min-max type. The proof is based linking argument jointly with suitably defined Nehari manifold and careful Palais-Smale sequences. We complement this study multiplicity result exploiting symmetry problem.

We study the multiplicity and concentration of complex valued solutions for a fractional magnetic Schr\"odinger equation involving scalar continuous electric potential satisfying local condition nonlinearity with subcritical growth. The main results are obtained by applying penalization technique, generalized Nehari manifold method Ljusternik-Schnirelman theory. also prove Kato's inequality Lap...

In this paper, we study the existence and multiplicity of positive solutions for semi-linear elliptic equations with a sign-changing weight function in weighted Sobolev spaces. By investigating the compact embedding theorem and based on the extraction of the Palais-Smale sequence in the Nehari manifold which is a subset of the weighted Sobolev spaces, we derive the existence of the multiple pos...