Now showing items 1-10 of 16
The sub-supersolution method for weak solutions
(Amer Mathematical SocProvidenceEUA, 2008)
Lotka-Volterra models with fractional diffusion
(Cambridge Univ Press, 2017-06-01)
We study Lotka-Volterra models with fractional Laplacian. To do this we study in detail the logistic problem and show that the sub-supersolution method works for both the scalar problem and for systems. We apply this method ...
Positive solutions to a singular Neumann problem
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2009)
AN AMBROSETTI-PRODI-TYPE RESULT FOR A QUASILINEAR NEUMANN PROBLEM
(Cambridge Univ PressNew YorkEUA, 2012)
Study of a logistic equation with local and non-local reaction terms
We examine a logistic equation with local and non-local reaction terms both for time dependent and steady-state problems. Mainly, we use bifurcation and monotonicity methods to prove the existence of positive solutions for ...
Existence and Uniqueness results for linear second-order equations in the Heisenberg group
(Suomalainen Tiedeakatemia, 2017-07)
In this manuscript, we prove uniqueness and existence results of viscosity solutions for a class of linear second-order equations in the Heisenberg group. We state uniqueness by proving a comparison result to our class of ...
Positive solutions of the p-Laplacian involving a superlinear nonlinearity with zeros
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2010)
Using a combination of several methods, such as variational methods. the sub and supersolutions method, comparison principles and a priori estimates. we study existence, multiplicity, and the behavior with respect to lambda ...
Soluções positivas de um sistema elíptico semilinear nos casos crítico e supercrítico
(Universidade Federal do Espírito SantoBRMatemáticaPrograma de Pós-Graduação em MatemáticaUFES, 2011-06-30)
In this work we study the existence of multiple positive solutions for a system of elliptic equations involving critical Sobolev exponent in a bounded domain in RN. These results were demonstrated by Pigong Han. The ...
Positive solutions for an elliptic equation in an annulus with a superlinear nonlinearity with zeros
(Wiley-VCH Verlag GmbHWeinheim, 2014-07)
We study existence, multiplicity, and the behavior, with respect to λ, of positive radially symmetric solutions of − 'delta'u = λh(x, u) in annular domains in 'R POT.N', N ≥ 2. The nonlinear term has a superlinear local ...