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, Alessandra
Secondo
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.
2017
Inglese
Solvability, regularity, and optimal control of boundary value problems for PDEs
978-3-319-64488-2
Springer
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/116775
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