4 citations · 13 across the 15 of their papers we have counts for
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Unilateral global bifurcation for fourth-order eigenvalue problems with sign-changing weight
Guowei Dai
In this paper, we shall establish the unilateral global bifurcation result for a class of fourth-order eigenvalue problems with sign-changing weight. Under some natural hypotheses…
Unilateral global interval bifurcation theorem for -Laplacian and its applications
Guowei Dai
In this paper, we establish a unilateral global bifurcation result from interval for a class of -Laplacian problems. By applying the above result, we study the spectrum of a cla…
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…
Eigenvalues, bifurcation and one-sign solutions for the periodic -Laplacian
Guowei Dai, Haiyan Wang
In this paper, we establish a unilateral global bifurcation result for a class of quasilinear periodic boundary problems with a sign-changing weight. By the Ljusternik-Schnirelmann…
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}…
Spectrum of Navier -biharmonic problem with sign-changing weight
Guowei Dai
In this paper, we consider the following eigenvalue problem {{l} (|u"|^{p-2}u")"=λm(x)|u|^{p-2}u, x\in (0,1), u(0)=u(1)=u"(0)=u"(1)=0, where , is a real parameter…