Using a reduced version of the sub and super-solutions method, we prove that the equation Delta(p)u + ku(p-1) - Ku(p*-1) = 0 has a positive solution on a complete Riemannian manifold for appropriate functions k, K : M -> R.
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City Univ Hong Kong, Dept Math, Kowloon, 83 Tat Chee Ave, Hong Kong, Peoples R ChinaCity Univ Hong Kong, Dept Math, Kowloon, 83 Tat Chee Ave, Hong Kong, Peoples R China
Qiu, Weifeng
Shi, Ke
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Old Dominion Univ, Dept Math & Stat, Norfolk, VA 23529 USACity Univ Hong Kong, Dept Math, Kowloon, 83 Tat Chee Ave, Hong Kong, Peoples R China
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Politecn Bari, Dipartimento Meccan Matemat & Management, Via E Orabona 4, I-70125 Bari, ItalyPolitecn Bari, Dipartimento Meccan Matemat & Management, Via E Orabona 4, I-70125 Bari, Italy
Bartolo, Rossella
Bisci, Giovanni Molica
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Univ Mediterranea Reggio Calabria, Dipartimento PAU, Via Melissari 24, I-89124 Reggio Di Calabria, ItalyPolitecn Bari, Dipartimento Meccan Matemat & Management, Via E Orabona 4, I-70125 Bari, Italy
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Yunnan Normal Univ, Dept Math, Kunming 650500, Yunnan, Peoples R China
Univ Texas Rio Grande Valley, Dept Math, Edinburg, TX 78539 USAYunnan Normal Univ, Dept Math, Kunming 650500, Yunnan, Peoples R China
Liu, Xiangqing
Zhao, Junfang
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China Univ Geosci, Sch Sci, Beijing 100083, Peoples R ChinaYunnan Normal Univ, Dept Math, Kunming 650500, Yunnan, Peoples R China
Zhao, Junfang
Liu, Jiaquan
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Peking Univ, Sch Math, LMAM, Beijing 100871, Peoples R ChinaYunnan Normal Univ, Dept Math, Kunming 650500, Yunnan, Peoples R China
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Univ Mediterranea Reggio Calabria, Dipartimento PAU, I-89124 Reggio Di Calabria, ItalyUniv Mediterranea Reggio Calabria, Dipartimento PAU, I-89124 Reggio Di Calabria, Italy
Bisci, Giovanni Molica
Repovs, Dusan
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Univ Ljubljana, Fac Educ, Ljubljana 1001, Slovenia
Univ Ljubljana, Fac Math & Phys, Ljubljana 1001, SloveniaUniv Mediterranea Reggio Calabria, Dipartimento PAU, I-89124 Reggio Di Calabria, Italy