Superlinear elliptic equations with unbalanced growth and nonlinear boundary condition (Q6652382)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Superlinear elliptic equations with unbalanced growth and nonlinear boundary condition |
scientific article; zbMATH DE number 7957539
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Superlinear elliptic equations with unbalanced growth and nonlinear boundary condition |
scientific article; zbMATH DE number 7957539 |
Statements
Superlinear elliptic equations with unbalanced growth and nonlinear boundary condition (English)
0 references
12 December 2024
0 references
The authors study a variable exponent double phase problem with a nonlinear boundary condition devoted to a variable exponent double phase operator. The existence of multiple solutions is shown by the use of the mountain pass theorem, Nehari manifolds, Brouwer degree and a quantitative deformation lemma. For this purpose a new equivalent norm in Musielak-Orlicz-Sobolev spaces is introduced.
0 references
Brouwer degree
0 references
double phase operator
0 references
Nehari manifold
0 references
nonlinear boundary condition
0 references
nonstandard growth
0 references
sign-changing solution
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
