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math.AP2019★ 4 cited
Existence and convergence of solutions for nonlinear biharmonic equations on graphs
Xiaoli Han, Mengqiu Shao, Liang Zhao
In this paper, we first prove some propositions of Sobolev spaces defined on a locally finite graph , which are fundamental when dealing with equations on graphs under the…
math.AP2012★ 1 cited
Unilateral global bifurcation and nodal solutions for the -Laplacian with sign-changing weight
Guowei Dai, Ruyun Ma
In this paper, we shall establish a Dancer-type unilateral global bifurcation result for a class of quasilinear elliptic problems with sign-changing weight. Under some natural hypo…