Positive solutions for a class of p-Laplace problems involving quasi-linear and semi-linear terms |
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| Authors: | Hongjun Yuan Mingtao Chen |
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| Institution: | aInstitute of Mathematics, Jilin University, 130012, PR China |
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| Abstract: | The aim of this paper is to discuss the positive solutions of the p-Laplace problem−div(|  u| p−2u)+ g( u)| u| p= λuq, | where p>1, q>1,  is a nonnegative continuous function, λ is a real number. The sufficient condition to have positive solutions of the above problem is  . However, if  , there is no solution which belongs to it. Therefore, our results are optimal.
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| Keywords: | p-Laplace equation Positive solutions |
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