On the symmetric solutions to a class of nonlinear PDEs
Finite element approximation of the first eigenvalue of a nonlinear problem for some special domains.
Isoperimetric inequalities for some nonlinear eigenvalue problems.
The ratio of eigenvalues of the Dirichlet eigenvalue problem for equations with one-dimensional -Laplacian.
Bargmann-type inequality for half-linear differential operators.
On similarity solution of a boundary layer problem for power-law fluids
The boundary layer equations for the non-Newtonian power law fluid are examined under the classical conditions of uniform flow past a semi infinite flat plate. We investigate the behavior of the similarity solution and employing the Crocco-like transformation we establish the power series representation of the solution near the plate.
A remark on power comparison theorem for half-linear differential equations
We consider the half-linear second order differential equation which is viewed as a perturbation of the so-called Riemann-Weber half-linear differential equation. We present a comparison theorem with respect to the power of the half-linearity in the equation under consideration. Our research is motivated by the recent results published by J. Sugie, N. Yamaoka, Acta Math. Hungar. 111 (2006), 165–179.
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