Three Solutions of Constant Sign for a System of Discrete Equations

2004 ◽  
Vol 84 (2) ◽  
pp. 121-162 ◽  
Author(s):  
Ravi P. Agarwal ◽  
Donal O’Regan ◽  
Patricia J. Y. Wong
Keyword(s):  
Constant Sign ◽  
Three Solutions ◽  
Discrete Equations ◽  
Solutions Of Constant Sign

Nonlinear Parametric Robin Problems with Combined Nonlinearities

2015 ◽  
Vol 15 (3) ◽  
Author(s):  
Nikolaos S. Papageorgiou ◽  
Vicenţiu D. Rădulescu
Keyword(s):  
Growth Condition ◽  
Morse Theory ◽  
Constant Sign ◽  
Robin Problem ◽  
Three Solutions ◽  
Multiplicity Theorem ◽  
Solutions Of Constant Sign ◽  
Semilinear Problem ◽  
Concave Term

AbstractWe consider a nonlinear parametric Robin problem driven by the p-Laplacian. We assume that the reaction exhibits a concave term near the origin. First we prove a multiplicity theorem producing three solutions with sign information (positive, negative and nodal) without imposing any growth condition near ±∞ on the reaction. Then, for problems with subcritical reaction, we produce two more solutions of constant sign, for a total of five solutions. For the semilinear problem (that is, for p = 2), we generate a sixth solution but without any sign information. Our approach is variational, coupled with truncation, perturbation and comparison techniques and with Morse theory.

A variational approach to nonlinear logistic equations

2015 ◽  
Vol 17 (03) ◽  
pp. 1450021 ◽  
Author(s):  
Leszek Gasiński ◽  
Donal O'Regan ◽  
Nikolaos S. Papageorgiou
Keyword(s):  
Positive Solutions ◽  
Variational Approach ◽  
Continuous Dependence ◽  
Type Equation ◽  
Logistic Equation ◽  
Extremal Solutions ◽  
Constant Sign ◽  
Nontrivial Solutions ◽  
Logistic Equations ◽  
Solutions Of Constant Sign

We consider a nonlinear logistic type equation. For all big values of the parameter, we show that the problem admits nontrivial solutions of constant sign and in fact we establish the existence of extremal constant sign solutions. Using these extremal solutions, we produce a nodal (sign-changing) solution. We also investigate the uniqueness and continuous dependence on the parameter of positive solutions. Finally, we study the degenerate p-logistic equation.

On constant-sign solutions of a system of discrete equations

2004 ◽  
Vol 14 (1-2) ◽  
pp. 1-37 ◽  
Author(s):  
Ravi P. Agarwal ◽  
Donal O'Regan ◽  
Patricia J. Y. Wong
Keyword(s):  
Constant Sign ◽  
Discrete Equations ◽  
Constant Sign Solutions

scholarly journals Two constant sign solutions for a nonhomogeneous Neumann boundary value problem

2015 ◽  
Vol 14 (1) ◽  
pp. 47-62
Author(s):  
Liliana Klimczak
Keyword(s):  
Differential Operator ◽  
Boundary Value Problem ◽  
Neumann Boundary ◽  
Constant Sign ◽  
Elliptic Differential Operator ◽  
Nontrivial Solutions ◽  
Natural Conditions ◽  
Neumann Boundary Value Problem ◽  
Nonlinear Neumann Problem ◽  
Solutions Of Constant Sign

Abstract We consider a nonlinear Neumann problem with a nonhomogeneous elliptic differential operator. With some natural conditions for its structure and some general assumptions on the growth of the reaction term we prove that the problem has two nontrivial solutions of constant sign. In the proof we use variational methods with truncation and minimization techniques.

Effects of Image Upload on Social Media as Media Promotion in Journal Publishers

CCIT Journal ◽  
2020 ◽  
Vol 13 (1) ◽  
pp. 20-31
Author(s):  
Untung Rahardja ◽  
Ani Wulandari ◽  
Marviola Hardini
Keyword(s):  
Social Media ◽  
Digital Media ◽  
Digital Content ◽  
Three Solutions ◽  
Conventional Process ◽  
Promotion System

Digital content is content in various formats, whether written, image, video, audio or combination so that it can be read, displayed or played by a computer and easily sent or hared through digital media. Digital content has abundant benefits, especially in the field of promotion. Where when a place of business or a body wants to introduce a product or service that is owned, it definitely requires content such as images as a promotional media. However, if you have to distribute posters to everyone you meet, it is not in line with current technological advancements because you are still using a conventional process. Therefore, to overcome this problem, social media can be used to process digital content easily and quickly. In this study, there are 3 (three) problems that will be overcome by 2 (two) methods, and 3 (three) solutions are produced. The advantage of digital content in social media is that it can be accessed anytime and anywhere, so it is concluded that the use of digital content in social media is able to overcome problems and is a creativepreneur effort found in the promotion system of a journal publisher.   Keywords—Digital Content, Creativepreneur, ATT Journal, Social Media

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