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math.AP2012
Maximum principle and one-sign solutions for the elliptic -Laplacian
Guowei Dai
In this paper, we prove a maximum principle for the -Laplacian with a sign-changing weight. As an application of this maximum principle, we study the existence of one-sign solut…
math.AP2012★ 1 cited
Eigenvalue, bifurcation, existence and nonexistence of solutions for Monge-Ampère equations
Guowei Dai
In this paper we study the following eigenvalue boundary value problem for Monge-Ampère equations: {equation} \{{array}{l} \det(D^2u)=λ^N f(-u)\,\, \text{in}\,\, Ω, u=0,\,\text{on}…
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…