Many nonlinear problems in physics, engineering, biology and social sciences can be
reduced to finding critical points of functionals. While minimax and Morse theories provide …

Multiplicity of solutions for resonant elliptic systems Page 1 J. Math. Anal. Appl. 319 (2006)
435–449 www.elsevier.com/locate/jmaa Multiplicity of solutions for resonant elliptic systems …

We consider a kind of nonlinear systems on a locally finite graph G=(V, E). We prove via the
mountain pass theorem that this kind of systems has a nontrivial ground state solution which …

In this paper, the relationships between sign-changing critical point theorems and the linking
type theorems of M. Schechter and the saddle point theorems of P. Rabinowitz are …

Existence and multiplicity results for some elliptic systems at resonance - ScienceDirect Skip to
main contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF …

In this paper minimax methods in a suitable Orlicz space are employed to establish the
existence of standing wave solutions for a class of quasilinear Schrödinger systems …

We deal with the existence of nonzero solution for the quasilinear Schrödinger equation−
Δu+ V (x) u− Δ (u2) u= g (x, u), x∈ ℝN, u∈ H1 (ℝN), where V is a positive potential and the …

In this paper, the Saddle-point theorems are generalized to a new version by showing that
there exists a “sign-changing” saddle point besides zero. The abstract result is applied to the …

Existence results for critical singular elliptic systems - ScienceDirect Skip to main contentSkip
to article Elsevier logo Journals & Books Search RegisterSign in View PDF Download full …

Multiplicity results for some elliptic systems near resonance with a nonprincipal eigenvalue -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …