Browsing Artículos by Author "Godoy, Tomás Fernando"
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Existence of nonnegative solutions for singular elliptic problems
Godoy, Tomás Fernando; Guerín, Alfredo José (2016)We prove the existence of nonnegative nontrivial weak solutions to the problem −∆u = au−αχ{u>0} − bup in Ω, u = 0 on ∂Ω, where Ω is a bounded domain in Rn. A sufficient condition for the existence of a continuous and ... -
Existence of strictly positive solutions for sublinear elliptic problems in bounded domains
Godoy, Tomás Fernando; Kaufmann, Uriel (2014)Let Ω be a smooth bounded domain in RN and let m be a possibly discontinuous and unbounded function that changes sign in Ω. Let f : [0,∞) → [0,∞) be a nondecreasing continuous function such that k1 ξp ≤ f (ξ) ≤ k2 ξp for ... -
On Dirichlet problems with singular nonlinearity of indefinite sign
Godoy, Tomás Fernando; Kaufmann, Uriel (2015)Let Ω be a smooth bounded domain in RN , N ≥ 1, let K, M be two nonnegative functions and let α, γ > 0. We study existence and nonexistence of positive solutions for singular problems of the form −Δu = K(x)u−α − λM (x)u−γ ...