Infinitely many solutions for a class of Dirichlet quasilinear elliptic systems

Infinitely many weak solutions for fourth-order equations depending on two parameters

“…In a such approach, an appropriate oscillating behavior of the nonlinear term either at infinity or at zero is required. This type of methodology has been used in several works in order to obtain existence results for different kinds of problems (see, for instance, [1,2,3,4,7,8,9,10,11,16] and references therein). We refer to [12] for several applications of the Ricceri variational principles.…”

“…We refer to [12] for several applications of the Ricceri variational principles. In [1], the existence of infinitely many classical solutions for the following Dirichlet quasilinear system has been obtained…”

“…for all M > 0 and all 1 ≤ i ≤ n. Now, starting from the results obtained in [1] and with the same method, we are interested in looking for a class of perturbations, namely µg + p, for which (1.1) still preserves multiple solutions. In particular, our goal in this paper is to obtain some sufficient conditions to guarantee that problem (1.1) has infinitely 133 many weak solutions.…”

Infinitely many solutions for a Dirichlet boundary value problem depending on two parameters

“…In [1], the existence of infinitely many classical solutions for the following Dirichlet quasilinear system has been obtained …”

“…for all M > 0 and all 1 ≤ i ≤ n. Here, starting from the results obtained in [1] and with the same method, we are interested in looking for a class of perturbations, namely µg +p, for which (1.1) still preserves multiple solutions.…”