Results 51 to 60 of about 199 (78)

On a geometric equation involving the Sobolev trace critical exponent

, 2013
In this paper we consider the problem of prescribing the mean curvature on the boundary of the unit ball of Rn, n≥4. Under the assumption that the prescribed function is flat near its critical point, we give precise estimates on the losses of the ...
M. Al-Ghamdi, H. Chtioui, Khadijah Sharaf   +2 more
semanticscholar   +1 more source

Existence and regularity of weak solutions to the prescribed mean curvature equation for a nonparametric surface

, 1999
Abstract and Applied Analysis, Volume 4, Issue 1, Page 61-69, 1999.
P. Amster, M. Cassinelli, M. C. Mariani, D. F. Rial   +3 more
wiley   +1 more source

Refined Boundary Behavior of the Unique Convex Solution to a Singular Dirichlet Problem for the Monge–Ampère Equation

Advanced Nonlinear Studies, 2018
This paper is concerned with the boundary behavior of the unique convex solution to a singular Dirichlet problem for the Monge–Ampère ...
Zhang Zhijun
doaj   +1 more source

On multiple positive solutions of positone and non‐positone problems

, 1999
Abstract and Applied Analysis, Volume 4, Issue 2, Page 101-108, 1999.
F. J. S. A. Corrêa
wiley   +1 more source

Existence results for a class of Kirchhoff type systems with Caffarelli-Kohn-Nirenberg exponents

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
This paper is concerned with the existence of positive solutions for a class of infinite semipositone kirchhoff type systems with singular weights. Our aim is to establish the existence of positive solution for λ large enough.
Afrouzi G. A., Zahmatkesh H., Shakeri S.
doaj   +1 more source

Liouville-type theorems for elliptic equations in half-space with mixed boundary value conditions

Advances in Nonlinear Analysis, 2016
In this paper we study the nonexistence of solutions, which are stable or stable outside a compact set, possibly unbounded and sign-changing, of some nonlinear elliptic equations with mixed boundary value conditions.
Harrabi Abdellaziz, Rahal Belgacem
doaj   +1 more source

Limit profiles and the existence of bound-states in exterior domains for fractional Choquard equations with critical exponent

Advances in Nonlinear Analysis
This article is devoted to studying the existence of positive solutions to the following fractional Choquard equation: (−Δ)su+u=∫Ω∣u(y)∣p∣x−y∣N−αdy∣u∣p−2u+ε∫Ω∣u(y)∣2α,s*∣x−y∣N−αdy∣u∣2α,s*−2u,inΩ,u=0,onRN\Ω,\left\{\begin{array}{ll}{\left(-\Delta )}^{s}u+u=
Ye Fumei, Yu Shubin, Tang Chun-Lei
doaj   +1 more source

Existence results for an elliptic DirichletI problem

Le Matematiche, 2011
The main purpose of this paper is to present recent existence results for an elliptic eigenvalue Dirichlet problem. Precisely, our method ensures the existence of an exactly determined open interval (possibly unbounded) of positive parameters for which ...
Giuseppina D'Aguì, Giovanni Molica Bisci   +1 more
doaj  

Boundary optimal control of time-space SIR model with nonlinear Robin boundary condition. [PDF]

Int J Dyn Control, 2022
Essoufi EH, Zafrar A.
europepmc   +1 more source

Classification of stable solutions for non-homogeneous higher-order elliptic PDEs. [PDF]

J Inequal Appl, 2017
Harrabi A, Rahal B, Hamdani MK.
europepmc   +1 more source