On a New Kato Class and Singular Solutions of a Nonlinear Elliptic Equation in Bounded Domains of $$\mathbb{R}^n$$

Singular Solutions ◽

Bounded Domains ◽

Kato Class ◽

Lecture Notes in Mathematics - Functional-Analytic Methods for Partial Differential Equations ◽

Singular solutions of a nonlinear elliptic equation and an infinite dimensional dynamical system

10.1007/bfb0084899 ◽

1990 ◽

pp. 64-87 ◽

Cited By ~ 1

Author(s):

Hiroshi Matano

Keyword(s):

Dynamical System ◽

Elliptic Equation ◽

Infinite Dimensional Dynamical System

Singular Solutions ◽

Infinite Dimensional ◽

Nonlinear Elliptic ◽

Dimensional Dynamical System ◽

Nonexistence of subsolutions of a nonlinear elliptic equation on bounded domains in a Riemannian manifold

Hiroshima Mathematical Journal ◽

10.32917/hmj/1206126675 ◽

1998 ◽

Vol 28 (3) ◽

pp. 419-435

Author(s):

Shin Kato

Keyword(s):

Riemannian Manifold ◽

Elliptic Equation ◽

Bounded Domains ◽

Singular solutions of a nonlinear elliptic equation in a punctured domain

Electronic journal of qualitative theory of differential equations ◽

10.14232/ejqtde.2017.1.94 ◽

2017 ◽

pp. 1-19 ◽

Cited By ~ 1

Author(s):

Imed Bachar ◽

Habib Maagli ◽

Vicenţiu Rădulescu

Keyword(s):

Elliptic Equation ◽

Singular Solutions ◽

Nonlinear Elliptic ◽

Punctured Domain

Existence of saddle solutions of a nonlinear elliptic equation involving p-Laplacian in more even-dimensional spaces

Frontiers of Mathematics in China ◽

10.1007/s11464-016-0584-1 ◽

2016 ◽

Vol 11 (6) ◽

pp. 1613-1623

Author(s):

Huahui Yan ◽

Zhuoran Du

Keyword(s):

Elliptic Equation ◽

Symmetry-Breaking Phenomena in an Optimization Problem for some Nonlinear Elliptic Equation

Applied Mathematics & Optimization ◽

10.1007/s00245-004-0803-5 ◽

2004 ◽

Vol 50 (3) ◽

pp. 259-278 ◽

Cited By ~ 6

Author(s):

Kazuhiro Kurata ◽

Masataka Shibata ◽

Shigeru Sakamoto

Keyword(s):

Elliptic Equation ◽

Symmetry Breaking ◽

Optimization Problem ◽

Nonlinear Elliptic ◽

Symmetry Breaking Phenomena

Eigenproblem for p-Laplacian and nonlinear elliptic equation with nonlinear boundary conditions

Acta Mathematica Sinica English Series ◽

10.1007/s10114-015-3662-5 ◽

2015 ◽

Vol 31 (4) ◽

pp. 659-674

Author(s):

Berrajaa Mohammed ◽

Chakrone Omar ◽

Diyer Fatiha ◽

Diyer Okacha

Keyword(s):

Elliptic Equation ◽

Boundary Conditions ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Yau’s gradient estimates for a nonlinear elliptic equation

Archiv der Mathematik ◽

10.1007/s00013-016-0983-2 ◽

2016 ◽

Vol 108 (4) ◽

pp. 427-435 ◽

Cited By ~ 1

Author(s):

Bin Qian

Keyword(s):

Elliptic Equation ◽

Gradient Estimates ◽

Existence and Global Behavior of Decaying Solutions of a Nonlinear Elliptic Equation

WSEAS TRANSACTIONS ON MATHEMATICS ◽

10.37394/23206.2020.19.73 ◽

2021 ◽

Vol 19 ◽

pp. 662-675

Author(s):

Arij Bouzelmate ◽

Mohamed El Hathout

Keyword(s):

Elliptic Equation ◽

Global Behavior ◽

Liouville type theorem for nonlinear elliptic equation with general nonlinearity

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2014.34.4947 ◽

2014 ◽

Vol 34 (11) ◽

pp. 4947-4966 ◽

Cited By ~ 12

Author(s):

Xiaohui Yu

Keyword(s):

Elliptic Equation ◽

Type Theorem ◽

Liouville Type ◽

Liouville Type Theorem ◽

Nonlinear Elliptic ◽

General Nonlinearity

Nonlinear Elliptic Equations in Strip-Like Domains

Advanced Nonlinear Studies ◽

10.1515/ans-2012-0406 ◽

2012 ◽

Vol 12 (4) ◽

Cited By ~ 2

Author(s):

Jaeyoung Byeon ◽

Kazunaga Tanaka

Keyword(s):

Elliptic Equation ◽

Positive Solution ◽

Bounded Domain ◽

Elliptic Equations ◽

Nonlinear Elliptic Equations ◽

AbstractWe study the existence of a positive solution of a nonlinear elliptic equationwhere k ≥ 2 and D is a bounded domain domain in R