Nodal Solutions for a Weighted (p,q)-Equation
Copyright policy )Nodal Solutions for a Weighted (p,q)-Equation
We consider a Dirichlet problem driven by a weighted (p,q)-Laplacian with a reaction that involves a critical term and a locally defined perturbation. Using variational tools and cut-off techniques, we show that the problem has a sequence of arbitrarily small nodal solutions.
- Guangxi University for Nationalities China (People's Republic of)
- National Technical University of Athens Greece
- Guangxi University Key Laboratory of UAV System Technology and Application China (People's Republic of)
- Yulin Normal University China (People's Republic of)
Variational methods for second-order elliptic equations, Boundary value problems for second-order elliptic equations, critical term, existence of arbitrarily small nodal solutions, variational methods, Existence problems for PDEs: global existence, local existence, non-existence, weighted \((p,q)\)-Laplacian, locally defined perturbation, Quasilinear elliptic equations with \(p\)-Laplacian
Variational methods for second-order elliptic equations, Boundary value problems for second-order elliptic equations, critical term, existence of arbitrarily small nodal solutions, variational methods, Existence problems for PDEs: global existence, local existence, non-existence, weighted \((p,q)\)-Laplacian, locally defined perturbation, Quasilinear elliptic equations with \(p\)-Laplacian
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