Mieko Tanaka

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20182021

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math.AP2021

On subhomogeneous indefinite $p$ -Laplace equations in supercritical spectral interval

Vladimir Bobkov, Mieko Tanaka

We study the existence, multiplicity, and certain qualitative properties of solutions to the zero Dirichlet problem for the equation $- Δ_{p} u = λ ∣ u ∣^{p - 2} u + a (x) ∣ u ∣^{q - 2} u$ in a bo…

math.AP2020

Generalized Picone inequalities and their applications to $(p, q)$ -Laplace equations

Vladimir Bobkov, Mieko Tanaka

We obtain a generalization of the Picone inequality which, in combination with the classical Picone inequality, appears to be useful for problems with the $(p, q)$ -Laplace type oper…

math.AP2018

On the Fredholm-type theorems and sign properties of solutions for $(p, q)$ -Laplace equations with two parameters

Vladimir Bobkov, Mieko Tanaka

We consider the Dirichlet problem for the nonhomogeneous equation $- Δ_{p} u - Δ_{q} u = α ∣ u ∣^{p - 2} u + β ∣ u ∣^{q - 2} u + f (x)$ in a bounded domain, where $p \neq = q$ , and $α, β \in R$ …

On subhomogeneous indefinite p-Laplace equations in supercritical spectral interval

Generalized Picone inequalities and their applications to (p,q)-Laplace equations

On the Fredholm-type theorems and sign properties of solutions for (p,q)-Laplace equations with two parameters

On subhomogeneous indefinite $p$ -Laplace equations in supercritical spectral interval

Generalized Picone inequalities and their applications to $(p, q)$ -Laplace equations

On the Fredholm-type theorems and sign properties of solutions for $(p, q)$ -Laplace equations with two parameters