Uniqueness results for the one-dimensional p-Laplacian

J Cheng - Journal of mathematical analysis and applications, 2005 - Elsevier
This paper is concerned with positive solutions of the boundary value problem [Formula: see
text], y (− b)= 0= y (b) where p> 1, b is a positive parameter. Assume that f is continuous on …

Finitely many solutions for a class of boundary value problems with superlinear convex nonlinearity

V Rădulescu - Archiv der Mathematik, 2005 - Springer
We consider the nonlinear Sturm-Liouville problem− u′′= f (u)+ h in (0, 1), u (0)= u (1)= 0,
where h∈ L 2 (0, 1) and f is a positive convex nonlinearity with superlinear growth at infinity …

[PDF][PDF] A global curve of stable, positive solutions for a p-Laplacian problem

BP Rynne - Electron. J. Differential Equations, 2010 - ejde.math.txstate.edu
A GLOBAL CURVE OF STABLE, POSITIVE SOLUTIONS FOR A p-LAPLACIAN PROBLEM 1.
Introduction We consider the boundary-value problem ( Page 1 Electronic Journal of …

[PDF][PDF] 一类含有p-Laplacian 算子的微分方程正解的确切个数

庞常词, 韦忠礼 - 数学学报, 2005 - actamath.cjoe.ac.cn
§© ¡ß: A ¦ ٠Ѣ ¼ µ » ·¿250014 « ½ ¾ º¶p-Laplacian ²± ¹ ³. ; ¹ Page 1 ±48 ±6Û ¾ ¾ ¦ Vol.48,
No.6 2005Ù11 ACTA MATHEMATICA SINICA Nov., 2005 § Õ: 0583-1431(2005)06-1203-06 …

The positive solutions of boundary value problems for a class of one-dimensional p-Laplacians

J Cheng, Y Shao - Nonlinear Analysis: Theory, Methods & Applications, 2008 - Elsevier
This paper is concerned with the exact number of positive solutions for boundary value
problems [Formula: see text] and u (− 1)= u (1)= 0, where p> 1 and λ> 0 is a positive …

Exact number of positive solutions for semipositone problems

J Cheng - Journal of mathematical analysis and applications, 2006 - Elsevier
This paper is concerned with the exact number of positive solutions for the boundary value
problem [Formula: see text] and y (− 1)= y (1)= 0, where p> 1 and λ> 0 is a positive …

Positive Solutions of the One‐Dimensional p‐Laplacian with Nonlinearity Defined on a Finite Interval

R Ma, C Xie, A Ahmed - Abstract and Applied Analysis, 2013 - Wiley Online Library
We use the quadrature method to show the existence and multiplicity of positive solutions of
the boundary value problems involving one‐dimensional p‐Laplacian′+ λ fut= 0, t∈(0, 1) …

[PDF][PDF] A global curve of stable, positive solutions for a-Laplacian problem.

BP Rynne - Electronic Journal of Differential Equations (EJDE) …, 2010 - eudml.org
Line 1 f open parenthesis x comma xi closing parenthesis greater 0 comma open
parenthesis x comma xi closing parenthesis in open square bracket 0 comma 1 closing …

[PDF][PDF] Etude d'une classe de problemes aux limites quasilineaires

M Mustapha - 2014 - Citeseer
Etude d'une classe de problèmes aux limites quasilinéaires Page 1 République Algérienne
Démocratique et Populaire Ministère de l’Enseignement Supérieur et de la Recherche …

Exact multiplicity results for a class of two-point boundary value problems

J Cheng - Journal of mathematical analysis and applications, 2006 - Elsevier
This paper is concerned with the exact number of positive solutions for boundary value
problems [Formula: see text] and y (− 1)= y (1)= 0, where p> 1 and λ> 0 is a positive …