Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 0943.35032
Silva, Elves Alves de Barros e; Soares, Sérgio H.M.
Liouville-Gelfand type problems for the $N$-Laplacian on bounded domains of $\bbfR^N$. (English)
[J] Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 28, No. 1, 1-30 (1999). ISSN 0391-173X

Summary: Minimax methods are used to establish some existence results and the multiplicity of solutions for the $N$-Laplacian equation on bounded domains in $\bbfR^N$ with Dirichlet boundary conditions, when the nonlinearity has exponential growth. The subcritical and critical cases are considered.

MSC 2000:: *35J65 (Nonlinear) BVP for (non)linear elliptic equations
35D30
35J35 Higher order elliptic equations, variational problems
35J60 Nonlinear elliptic equations
35A15 Variational methods (PDE)
35B33 Critical exponents

Keywords: minimax methods; existence of solutions; multiplicity of solutions; subcritical case; critical case

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

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

Simple Search

Zentralblatt MATH Berlin [Germany]