Existence of solutions for a perturbation sublinear elliptic equation in {mathbb {R}^N} |
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| Authors: | Mohamed Benrhouma Hichem Ounaies |
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| Affiliation: | 1. Mathematics Department, Faculty of Science of Monastir, 5019, Monastir, Tunisia
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| Abstract: | In this paper we consider the following problem $left{begin{array}{l} -Delta u=u-left|uright|^{-2theta}u+f u in H^1(mathbb{R}^N)cap L^{2(1-theta)}(mathbb{R}^N)end{array}right.$ ${f in L^2(mathbb{R}^N)cap L^frac{2(1-theta)}{1-2theta}(mathbb{R}^N),, Ngeq 3,, fgeq 0,, f neq 0}In this paper we consider the following problem | {l -Du=u-|u|-2qu+f u ? H1(mathbbRN)?L2(1-q)(mathbbRN)left{begin{array}{l} -Delta u=u-left|uright|^{-2theta}u+f u in H^1(mathbb{R}^N)cap L^{2(1-theta)}(mathbb{R}^N)end{array}right. |
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