A VARIATIONAL APPROACH TO THE EXISTENCE OF INFINITELY MANY SOLUTIONS FOR DIFFERENCE EQUATIONS

Existence of infinitely many solutions for coupled system of Schrödinger-Maxwell's equations

Existence results of infinitely many solutions for a class of p(x)-biharmonic problems

The existence of infinitely many weak solutions for a Navier doubly eigenvalue boundary value problem involving the $p(x)$-biharmonic operator is established. In our main result, under an appropriate oscillating behavior of the nonlinearity and suitable assumptions on the variable exponent, a sequence of pairwise distinct solutions is obtained. Furthermore, some applications are pointed out.

existence of infinitely many solutions for coupled system of schrödinger-maxwell's equations

Existence of Infinitely Many Distinct Solutions to the Quasirelativistic Hartree-Fock Equations

equations forN-electron Coulomb systems with quasirelativistic kinetic energy √ −α−2Δxn α−4 − α−2 for the nth electron. Moreover, we prove existence of a ground state. The results are valid under the hypotheses that the total charge Ztot of K nuclei is greater than N − 1 and that Ztot is smaller than a critical charge Zc. The proofs are based on a new application of the Fang-Ghoussoub critical ...

Existence of Infinitely Many Large Solutions for a Class of Fourth - Order Elliptic Equations In

THE EXISTENCE OF INFINITELY MANY SOLUTIONS FOR p-LAPLACIAN TYPE EQUATIONS ON R WITH LINKING GEOMETRY

In this paper, we study the existence of infinitely many solutions to the following quasilinear equation of p-Laplacian type in R (0.1) −△pu+ |u|p−2u = λV (x)|u|p−2u+ g(x, u), u ∈ W (R ) with sign-changing radially symmetric potential V (x), where 1 < p < N, λ ∈ R and △pu = div(|Du|p−2Du) is the p-Laplacian operator, g(x, u) ∈ C(R×R,R) is subcritical and p-superlinear at 0 as well as at infinit...