We prove the existence of multiple solutions for a quasilinear elliptic equation containing a term with natural growth, under assumptions that are invariant by diffeomorphism. To this purpose we develop an adaptation of degree theory.
Degiovanni, M., Pluda, A., Nontrivial solutions of quasilinear elliptic equations with natural growth term, in Colli P., F. A. R. E. S. G. S. J. (ed.), Solvability, regularity, and optimal control of boundary value problems for PDEs, Springer, Cham 2017: <<SPRINGER INDAM SERIES>>, 183- 215. 10.1007/978-3-319-64489-9_8 [http://hdl.handle.net/10807/116775]
Nontrivial solutions of quasilinear elliptic equations with natural growth term
Degiovanni, Marco
Primo
;Pluda, AlessandraSecondo
2017
Abstract
We prove the existence of multiple solutions for a quasilinear elliptic equation containing a term with natural growth, under assumptions that are invariant by diffeomorphism. To this purpose we develop an adaptation of degree theory.
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