ISSN 2234-8417 (Online) ISSN 1598-5857 (Print)

 
 
 
   
 
Table of Contents
   
 
2017's   35, 1-2(Jan)
   
 
  EXISTENCE AND MULTIPLICITY OF WEAK SOLUTIONS FOR SOME p(x)-LAPLACIAN-LIKE PROBLEMS VIA VARIATIONAL METHODS
    By G.A. AFROUZI, S. SHOKOOH ..........1692
   
 
 
Generic Number - 1692
References - 24
Written Date - January 17th, 17
Modified Date - January 18th, 17
Downloaded Counts - 164
Visited Counts - 351
 
Original File
 
Summary
Using variational methods, we study the existence and multiplicity of weak solutions for some p(x)-Laplacian-like problems.
First, without assuming any asymptotic condition neither at zero nor at infinity, we prove the existence of a non-zero solution for our problem.
Next, we obtain the existence of two solutions, assuming only the classical Ambrosetti-Rabinowitz condition.
Finally, we present a three solutions existence result under appropriate condition on the potential F
 
 
   
 
   

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