T. Godoy

On the antimaximum principle for the p-Laplacian with indefinite weight

This paper is concerned with the antimaximum principle for the quasilinear prob-

On positive solutions for some semilinear periodic parabolic eigenvalue problems

1\mathrm{e}\mathrm{m}-\Delta_{p}u=\lambda m(x)|u|^{p-2}u+h(x)

L p − Lq estimates for convolution operators with n-Dimensional singular measures

,

Existence of Strictly Positive Solutions for Sublinear Elliptic Problems in Bounded Domains

\Delta_{p}

Positive solutions for sublinear periodic parabolic problems

is the -laplacian and

Convolution Operators with Fractional Measures Associated to Holomorphic Functions

m(x)

INHOMOGENEOUS PERIODIC PARABOLIC PROBLEMS WITH INDEFINITE DATA

is aweight function which may change sign. We will in particular investigate the question of the uniformity of this principle and provide avariational characterization for the interval of uniformity. An identity of Picones type for the

Antimaximum principle for elliptic problems with weight

\mathrm{p}

On principal eigenvalues for periodic parabolic problems with optimal condition on the weight function

-laplacian plays an important role in our approach.

A minimax formula for principal eigenvalues and application to an antimaximum principle

For a bounded domain Ω in RN, N⩾2, satisfying a weak regularity condition, we study existence of positive and T-periodic weak solutions for the periodic parabolic problem Luλ=λg(x,t,uλ) in Ω×R, uλ=0 on ∂Ω×R. We characterize the set of positive eigenvalues with positive eigenfunctions associated, under the assumptions that g is a Caratheodory function such that ξ→g(x,t,ξ)/ξ is nonincreasing in (0,∞) a.e. (x,t)∈Ω×R satisfying some integrability conditions in (x,t) and ∫0Tesssupx∈Ωinfξ>0g(x,t,ξ)ξdt>0.