On a singular semilinear elliptic problem: multiple solutions via critical point theory

2018 ◽  
pp. 1 ◽  
Author(s):  
George Smyrlis ◽  
Francesca Faraci
Keyword(s):  
Critical Point ◽  
Elliptic Problem ◽  
Critical Point Theory ◽  
Multiple Solutions ◽  
Point Theory ◽  
Semilinear Elliptic Problem ◽  
Semilinear Elliptic

scholarly journals Existence of Multiple Solutions for a Class ofn-Dimensional Discrete Boundary Value Problems

2010 ◽  
Vol 2010 ◽  
pp. 1-14 ◽  
Author(s):  
Weiming Tan ◽  
Zhan Zhou
Keyword(s):  
Boundary Value Problems ◽  
Critical Point ◽  
Critical Point Theory ◽  
Multiple Solutions ◽  
Boundary Value ◽  
Point Theory

By using critical point theory, we obtain some new results on the existence of multiple solutions for a class ofn-dimensional discrete boundary value problems. Results obtained extend or improve existing ones.

scholarly journals Multiplicity of Solutions for Neumann Problems for Semilinear Elliptic Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Yu-Cheng An ◽  
Hong-Min Suo
Keyword(s):  
Critical Point ◽  
Critical Point Theory ◽  
Elliptic Equations ◽  
Point Theory ◽  
Semilinear Elliptic Equations ◽  
Multiplicity Of Solutions ◽  
Neumann Problems ◽  
Minimax Methods ◽  
Semilinear Elliptic ◽  
Near Resonance

Using the minimax methods in critical point theory, we study the multiplicity of solutions for a class of Neumann problems in the case near resonance. The results improve and generalize some of the corresponding existing results.

Multiple solutions for a semilinear elliptic problem

2001 ◽  
Vol 45 (7) ◽  
pp. 937-956
Author(s):  
Thomas Canarius ◽  
Reiner Schätzle
Keyword(s):  
Elliptic Problem ◽  
Multiple Solutions ◽  
Semilinear Elliptic Problem ◽  
Semilinear Elliptic

scholarly journals On a bi-nonlocal fourth order elliptic problem

2021 ◽  
Vol 40 (1) ◽  
pp. 239-253
Author(s):  
F. Jaafri ◽  
A. Ayoujil ◽  
M. Berrajaa
Keyword(s):  
Boundary Condition ◽  
Weak Solution ◽  
Variational Methods ◽  
Critical Point ◽  
Fourth Order ◽  
Elliptic Problem ◽  
Critical Point Theory ◽  
Point Theory ◽  
Navier Boundary Condition ◽  
Order Elliptic Problem

This paper is aiming at obtaining weak solution for a bi-nonlocal fourth order elliptic problem with Navier boundary condition. Our approach is based on variational methods and critical point theory.

scholarly journals Positive radial symmetric solutions for a class of elliptic problems with critical exponent and -1 growth

2021 ◽  
Vol 10 (1) ◽  
pp. 1222-1234
Author(s):  
Chun-Yu Lei ◽  
Jia-Feng Liao
Keyword(s):  
Elliptic Equation ◽  
Critical Exponent ◽  
Critical Point ◽  
Critical Point Theory ◽  
Semilinear Elliptic Equation ◽  
Point Theory ◽  
Moving Plane Method ◽  
Plane Method ◽  
Semilinear Elliptic ◽  
Moving Plane

Abstract In this paper, we consider a class of semilinear elliptic equation with critical exponent and -1 growth. By using the critical point theory for nonsmooth functionals, two positive solutions are obtained. Moreover, the symmetry and monotonicity properties of the solutions are proved by the moving plane method. Our results improve the corresponding results in the literature.

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