Superlinear Weighted (p,q)-Equations with Indefinite Potential
Copyright policy )Superlinear Weighted (p,q)-Equations with Indefinite Potential
We consider a nonlinear Dirichlet problem driven by a weighted (p,q) ( p , q ) -Laplacian plus an indefinite potential term. The reaction is superlinear. We prove a three solutions theorem providing sign information for all of them (positive, negative, nodal). The nodal solution is produced using flow invariance arguments.
- Guangxi University China (People's Republic of)
- Yulin Normal University China (People's Republic of)
- National Technical University of Athens Greece
- Guangxi University for Nationalities China (People's Republic of)
- Guangxi University Key Laboratory of UAV System Technology and Application China (People's Republic of)
Boundary value problems for second-order elliptic equations, Dirichlet condition, existence, Existence problems for PDEs: global existence, local existence, non-existence, weighted \((p,q)\)-Laplacian, Quasilinear elliptic equations with \(p\)-Laplacian
Boundary value problems for second-order elliptic equations, Dirichlet condition, existence, Existence problems for PDEs: global existence, local existence, non-existence, weighted \((p,q)\)-Laplacian, Quasilinear elliptic equations with \(p\)-Laplacian
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