Journal
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
Volume 58, Issue 1, Pages -Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00526-018-1472-1
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Funding
- European Union's Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant [823731 - CONMECH]
- National Science Center of Poland [UMO-2012/06/A/ST1/00262, 2017/25/N/ST1/00611]
- NNSF of China [11671101]
- NSF of Guangxi [2018GXNSFDA138002]
- Ministry of Science and Higher Education of Republic of Poland [3792/GGPJ/H2020/2017/0]
- CNPQ/Brazil [PV-400633/2017-5]
- Special Funds of Guangxi Distinguished Experts Construction Engineering
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In this paper, we study a nonlinear Dirichlet problem of p-Laplacian type with combined effects of nonlinear singular and convection terms. An existence theorem for positive solutions is established as well as the compactness of solution set. Our approach is based on Leray-Schauder alternative principle, method of sub-supersolution, nonlinear regularity, truncation techniques, and set-valued analysis.
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