On a Class of PDE Involving p-Biharmonic Operator
Copyright policy ) El Khalil, Abdelouahed;
On a Class of PDE Involving p-Biharmonic Operator
The existence of solution for a fourth-order nonlinear partial differential equation (PDE) class involving p-biharmonic operator Δ(|Δu|p−2Δu)=λρ(x)|u|q−2u in Ω, u=Δu=0, on ∂Ω, is proved by applying mountain pass theorem and a local minimization.
- Imam Muhammad ibn Saud Islamic University Saudi Arabia
\(p\)-biharmonic operator, Boundary value problems for higher-order elliptic equations, critical Sobolev exponent, eigenvalue, weak solution, Nonlinear elliptic equations, Higher-order elliptic equations, energy functional
\(p\)-biharmonic operator, Boundary value problems for higher-order elliptic equations, critical Sobolev exponent, eigenvalue, weak solution, Nonlinear elliptic equations, Higher-order elliptic equations, energy functional
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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