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引用次数: 0
摘要
考虑了不满足Bernstein-Nagumo型条件的梯度存在下\( p \) -Laplace方程的Dirichlet问题。定义了一类梯度非线性问题，并证明了该类问题具有Hölder连续导数的径向对称解的存在性。
On the Existence of Radially Symmetric Solutions for the $ p $ -Laplace Equation with Strong Gradient Nonlinearities
We consider the Dirichlet problem for the \( p \)-Laplace equation
in presence of a gradient not satisfying the Bernstein–Nagumo type condition.
We define some class of gradient nonlinearities,
for which we prove the existence of a radially symmetric solution with a Hölder continuous derivative.
期刊介绍：
Siberian Mathematical Journal is journal published in collaboration with the Sobolev Institute of Mathematics in Novosibirsk. The journal publishes the results of studies in various branches of mathematics.
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