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math.AP2021
Existence and multiplicity of solutions for polyharmonic elliptic Kirchhoff type equations without Ambrosetti-Rabinowitz conditions
Mohamed Karim Hamdani, Abdellaziz Harrabi
In this paper, we prove the existence of infinitely many solutions for a class of quasilinear elliptic -polyharmonic Kirchhoff equations where the nonlinear function has a qu…
math.AP2021
Existence and nonexistence results of polyharmonic boundary value problems with supercritical growth
Abdellaziz Harrabi, Foued Mtiri, Wafa Mtaouaa
We establish some existence results of polyharmonic boundary value problems with supercritical growth. Our approach is based on truncation argument as well as -bounds.…
math.AP2021
Interpolation inequality and some applications
Abdellaziz Harrabi
We investigate {\bf explicit} universal estimate of finite Morse index solutions to polyharmonic equations. \,Differently to previous works \cite{BL2, DDF, fa, H1}, propose here a…