most citedEigenvalue, bifurcation, existence and nonexistence of solutions for Monge-Ampère equations

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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}…