The existence of a nontrivial solution for quasilinear elliptic equations involving the p-Laplace operator and a nonlinearity with p-linear growth at infinity is proved. Techniques of Morse theory are employed.
Cingolani, S., Degiovanni, M., Nontrivial solutions for p-Laplace equations with right hand side having p-linear growth at infinity, <<COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS>>, 2005; 30 (8): 1191-1203. [doi:10.1080/03605300500257594] [http://hdl.handle.net/10807/5125]
Nontrivial solutions for p-Laplace equations with right hand side having p-linear growth at infinity
Degiovanni, Marco
2005
Abstract
The existence of a nontrivial solution for quasilinear elliptic equations involving the p-Laplace operator and a nonlinearity with p-linear growth at infinity is proved. Techniques of Morse theory are employed.
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