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Sign changing solution for a double phase problem with nonlinear boundary condition via the Nehari manifold.
- Source :
-
Journal of Differential Equations . Feb2021, Vol. 274, p1037-1066. 30p. - Publication Year :
- 2021
-
Abstract
- In this paper we study quasilinear elliptic equations driven by the so-called double phase operator and with a nonlinear boundary condition. Due to the lack of regularity, we prove the existence of multiple solutions by applying the Nehari manifold method along with truncation and comparison techniques and critical point theory. In addition, we can also determine the sign of the solutions (one positive, one negative, one nodal). Moreover, as a result of independent interest, we prove for a general class of such problems the boundedness of weak solutions. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NONLINEAR equations
*ELLIPTIC equations
*NONLINEAR operators
Subjects
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 274
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 147648708
- Full Text :
- https://doi.org/10.1016/j.jde.2020.11.014