논문
The p-Schrodinger equations on networks
- 저자Jea-Hyun Park, Jong-Ho Kim and Soon-Yeong Chung
- 학술지Publications of The Research Institute for Mathematical Sciences 45
- 등재유형
- 게재일자(2009)
We introduce the discrete p-Schrödinger operator Lp,ω and solve the following p-Schrödinger equation: Lp,ωu = −Δp,ωu + q|u|p−2u = f on networks. To show the uniqueness of solutions of the p-Schrödinger equation, we first solve the eigenvalue problem for the p-Schrödinger operator and obtain some properties of the smallest eigenvalue and its corresponding eigenfunction of the p-Schrödinger operator.
We introduce the discrete p-Schrödinger operator Lp,ω and solve the following p-Schrödinger equation: Lp,ωu = −Δp,ωu + q|u|p−2u = f on networks. To show the uniqueness of solutions of the p-Schrödinger equation, we first solve the eigenvalue problem for the p-Schrödinger operator and obtain some properties of the smallest eigenvalue and its corresponding eigenfunction of the p-Schrödinger operator.
