Results 41 to 50 of about 526 (91)
Multiplicity of positive solutions to semilinear elliptic boundary value problems
Abstract and Applied Analysis, Volume 4, Issue 3, Page 195-208, 1999., 1999 We study semilinear elliptic boundary value problems of one parameter dependence where the number of positive solutions is discussed. Our main purpose is to characterize the critical value given by the infimum of such parameters for which positive solutions exist.
Kenichiro Umezu
wiley +1 more source
Singular limit solutions for a 2-dimensional semilinear elliptic system of Liouville type
Advances in Nonlinear Analysis, 2016 We consider the existence of singular limit solutions for a nonlinear elliptic system of Liouville type with Dirichlet boundary conditions. We use the nonlinear domain decomposition method.
Trabelsi Maryem, Trabelsi Nihed
doaj +1 more source
Semilinear elliptic equations having asymptotic limits at zero and infinity
Abstract and Applied Analysis, Volume 4, Issue 4, Page 231-242, 1999., 1999 We obtain nontrivial solutions for semilinear elliptic boundary value problems having resonance both at zero and at infinity, when the nonlinear term has asymptotic limits.
Kanishka Perera, Martin Schechter
wiley +1 more source
Some hemivariational inequalities in the Euclidean space
Advances in Nonlinear Analysis, 2019 The purpose of this paper is to study the existence of weak solutions for some classes of hemivariational problems in the Euclidean space ℝd (d ≥ 3). These hemivariational inequalities have a variational structure and, thanks to this, we are able to find
Bisci Giovanni Molica, Repovš Dušan
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On the limit configuration of four species strongly competing systems
, 2019 We analysed some qualitative properties of the limit configuration of the solutions of a reaction-diffusion system of four competing species as the competition rate tends to infinity.
Lanzara, Flavia, Montefusco, Eugenio
core +1 more source
Sign-changing solutions for some nonlinear problems with strong resonance
Boundary Value Problems, 2011 By means of critical point and index theories, we obtain the existence and multiplicity of sign-changing solutions for some elliptic problems with strong resonance at infinity, under weaker conditions.
Qian Aixia
doaj
On certain nonlinear elliptic systems with indefinite terms
Electronic Journal of Differential Equations, 2002 We consider an elliptic quasi linear systems with indefinite term on a bounded domain. Under suitable conditions, existence and positivity results for solutions are given. Submitted April 2, 2002. Published October 2, 2002.
Ahmed Bensedik, Mohammed Bouchekif
doaj
On the Keldys-Fichera boundary-value problem for degenerate quasilinear elliptic equations
Electronic Journal of Differential Equations, 2002 We prove existence and uniqueness theorems for the Keldys-Fichera boundary-value problem using pseudo-monotone operators. The equation studied here is quasilinear, elliptic, and its set of degenerate points may be of non-zero measure.
Zu-Chi Chen, Benjin Xuan
doaj
Concavity properties for free boundary elliptic problems
, 2010 We prove some concavity properties connected to nonlinear Bernoulli type free boundary problems. In particular, we prove a Brunn-Minkowski inequality and an Urysohn's type inequality for the Bernoulli Constant and we study the behaviour of the free ...
Bianchini, C., Salani, P.
core +1 more source
Demonstratio MathematicaThis work investigates the existence of singular limit solutions for nonlinear elliptic systems. Our main approach focuses on using the nonlinear domain decomposition method to establish a new Liouville-type result.
Baraket Sami +3 more
doaj +1 more source