On a fractional nonlinear equation on a bounded domain of ℝ n
Sharaf, Khadijah1
1 King Abdulaziz University, Jeddah, Saudi Arabia
Rendiconti del Seminario Matematico della Università di Padova, Tome 143 (2020), pp. 1-33.
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We establish perturbation results for a Nirenberg type equation involving the fractional Laplacian on a bounded domain of ℝ n ,n≥2. Our method is based on the critical points at infinity theory of [6].

Publié le :
DOI : 10.4171/RSMUP/38
Classification : 35, 58
Mots clés : Fractional P.D.E, variational method, Palais–Smale condition, critical points at infinity
Sharaf, Khadijah 1

1 King Abdulaziz University, Jeddah, Saudi Arabia 
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     author = {Sharaf, Khadijah},
     title = {On a fractional nonlinear equation on a bounded domain of $\mathbb R^n$},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {1--33},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {143},
     year = {2020},
     doi = {10.4171/RSMUP/38},
     mrnumber = {4103738},
     zbl = {1444.35067},
     url = {http://www.numdam.org/articles/10.4171/RSMUP/38/}
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Sharaf, Khadijah. On a fractional nonlinear equation on a bounded domain of $\mathbb R^n$. Rendiconti del Seminario Matematico della Università di Padova, Tome 143 (2020), pp. 1-33. doi : 10.4171/RSMUP/38. http://www.numdam.org/articles/10.4171/RSMUP/38/

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