Browsing Artículos by Author "Kaufmann, Uriel"
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Decay bounds for nonlocal evolution equations in Orlicz spaces
Kaufmann, Uriel; Rossi, Julio Daniel; Vidal, Raúl Emilio (2016)We show decay bounds of the form ∫Rd φ(u (x, t)) dx ≤ Ct−μ for integrable and bounded solutions to the nonlocal evolution equation ut(x, t) = ∫Rd J(x, y)G(u(y, t) − u(x, t))(u(y, t) − u(x, t)) dy + f (u(x, t)). Here G is ... -
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 ... -
Positivity results for indefinite sublinear elliptic problems via a continuity argument
Kaufmann, Uriel; Ramos Quoirin, Humberto; Umezu, Kenichiro (2017)We establish a positivity property for a class of semilinear elliptic problems involving indefinite sublinear nonlinearities. Namely, we show that any nontrivial nonnegative solution is positive for a class of problems the ... -
Strictly positive solutions for one dimensional nonlinear elliptic problems
Kaufmann, Uriel; Medri, Iván Vladimir (2014)We study the existence and nonexistence of strictly positive solutions for the elliptic problems -- in a bounded open interval, with zero boundary conditions, where -- is a strongly uniformly elliptic differential operator, ...