Adiam Mekonen - Academia.edu (original) (raw)
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Papers by Adiam Mekonen
Advances in Nonlinear Analysis, 2017
In this paper we explore Liouville-type theorems to solutions of PDEs involving the ϕ-Laplace ope... more In this paper we explore Liouville-type theorems to solutions of PDEs involving the ϕ-Laplace operator in the setting of Orlicz–Sobolev spaces. Our results extend Liouville-type theorems that have been obtained recently.
Journal of Mathematical Analysis and Applications, 2017
In this paper we prove the existence of infinitely many bounded entire solutions, ground state en... more In this paper we prove the existence of infinitely many bounded entire solutions, ground state entire solutions and entire solutions with prescribed limit at infinity to PDEs involving the φ-Laplace operator in the setting of Orlicz-Sobolev spaces. The main tools used are the sub-solution and super-solution technique in conjunction with the Schauder-Tychonoff fixed point theorem.
Advances in Nonlinear Analysis, 2017
In this paper we explore Liouville-type theorems to solutions of PDEs involving the ϕ-Laplace ope... more In this paper we explore Liouville-type theorems to solutions of PDEs involving the ϕ-Laplace operator in the setting of Orlicz–Sobolev spaces. Our results extend Liouville-type theorems that have been obtained recently.
Journal of Mathematical Analysis and Applications, 2017
In this paper we prove the existence of infinitely many bounded entire solutions, ground state en... more In this paper we prove the existence of infinitely many bounded entire solutions, ground state entire solutions and entire solutions with prescribed limit at infinity to PDEs involving the φ-Laplace operator in the setting of Orlicz-Sobolev spaces. The main tools used are the sub-solution and super-solution technique in conjunction with the Schauder-Tychonoff fixed point theorem.