Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1211.35125
Tian, Yujuan; Li, Fengquan
Comparison results for nonlinear degenerate Dirichlet and Neumann problems with general growth in the gradient. (English)
[J] J. Math. Anal. Appl. 378, No. 2, 749-763 (2011). ISSN 0022-247X

Summary: This paper deals with both Dirichlet and Neumann problems for a class of nonlinear degenerate elliptic equations with general growth in the gradient. First, we give an existence result of a spherically symmetric solution to the ``symmetrized'' problems with data depending only on the radials. Second, we prove that the solutions of the original problems can be compared, under a rearrangement, with the solutions of the ``symmetrized'' problems.

MSC 2000:: *35J70 Elliptic equations of degenerate type
35J60 Nonlinear elliptic equations
35J25 Second order elliptic equations, boundary value problems
35B06
35B51

Keywords: comparison results; rearrangements; degenerate; nonlinear elliptic equation

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]