|   | 
           | 
            |        
         
         
          |   | 
          Volume 9, Issue 3, Article 68 | 
           | 
         
         
           | 
           | 
           | 
           | 
         
       |   | 
             Poincaré Type Inequalities for Variable Exponents
 
  | 
          
          |   | 
            | 
          Authors:  | 
          Fumi-Yuki Maeda,  | 
            | 
         
         
          |   | 
            | 
          Keywords: 
             | 
          Poincaré inequality, variable exponent. | 
            | 
         
         
          |   | 
            | 
          Date Received: 
             | 
          04/03/08 | 
            | 
         
         
          |   | 
            | 
          Date Accepted: 
             | 
          04/08/08 | 
            | 
         
         
          |   | 
            | 
          Subject Codes: | 
           
             26D10, 26D15. 
           | 
            | 
          
          |   | 
            | 
          Editors:  | 
          Bohumir Opic,   | 
            | 
         
         
          |   | 
         
         
           | 
           | 
           | 
           | 
           | 
         
         
          |   | 
            | 
          Abstract: | 
           
              We consider Poincaré type inequalities of integral form for variable exponents. We give conditions under which these inequalities do not hold as well as conditions under which they hold.
             
          
         |  
         
           | 
           | 
           | 
           | 
           | 
         
         
          |   | 
            | 
            | 
           
           |  
         |  
         
          |   | 
            | 
            | 
           | 
            | 
          
         
         
        |