Multiplicity of nonnegative solutions for quasilinear Schrödinger equations

Soliton Solutions for Quasilinear Schrödinger Equations

Multiplicity of Solutions of Quasilinear Subelliptic Equations on Heisenberg Group

In this paper, a class of quasilinear elliptic equations on the Heisenberg Group is concerned. Under some suitable assumptions, by virtue of the nonsmooth critical point theory, the existence of infinitely many weak solutions of the problems is obtained. Mathematics Subject Classification: 35J20, 35J25, 65J67

Multiplicity of Solutions for a Quasilinear Problem with Supercritical Growth

The multiplicity and concentration of positive solutions are established for the equation − ∆pu+ V (z)|u|p−2u = |u|q−2u+ λ|u|s−2u in R , where 1 < p < N , > 0, p < q < p∗ ≤ s, p∗ = Np N−p , λ ≥ 0 and V is a positive continuous function.

Multiplicity of solutions for quasilinear elliptic boundary-value problems

This paper is concerned with the existence of multiple solutions to the boundary-value problem −(φp(u )) = λφq(u) + f(u) in (0, 1) , u(0) = u(1) = 0 , where p, q > 1, φx(y) = |y| y, λ is a real parameter, and f is a function which may be sublinear, superlinear, or asymmetric. We use the time map method for showing the existence of solutions.

Existence and multiplicity of positive solutions for singular quasilinear problems

In this work we combine perturbation arguments and variational methods to study the existence and multiplicity of positive solutions for a class of singular p-Laplacian problems. In the first two theorems we prove the existence of solutions in the sense of distributions. By strengthening the hypotheses, in the third and last result, we establish the existence of two ordered positive weak soluti...