Bifurcation and multiplicity results for classes of $p,q$-Laplacian systems

Multiplicity of Positive Solutions of laplacian systems with sign-changing weight functions

In this paper, we study the multiplicity of positive solutions for the Laplacian systems with sign-changing weight functions. Using the decomposition of the Nehari manifold, we prove that an elliptic system has at least two positive solutions.

Multiplicity results of a Neumann Problem for p(x)-Laplacian Systems

In this paper, we study a Neumann problem for elliptic systems with variable exponents and we obtain the existence of at least three nontrivial solutions by using an equivalent variational approach to a recent Ricceri’s three critical points theorem [12].

Existence, Multiplicity, and Bifurcation in Systems of Ordinary Differential Equations

We prove new non-resonance conditions for boundary value problems for two dimensional systems of ordinary differential equations. We apply these results to the existence of solutions to nonlinear problems. We then study global bifurcation for such systems of ordinary differential equations Rotation numbers are associated with solutions and are shown to be invariant along bifurcating continua. T...

multiplicity of positive solutions of laplacian systems with sign-changing weight functions

in this paper, we study the multiplicity of positive solutions for the laplacian systems with sign-changing weight functions. using the decomposition of the nehari manifold, we prove that an elliptic system has at least two positive solutions.

Multiplicity Results of Positive Radial Solutions for p-Laplacian Problems in Exterior Domains