Research
Existence of solutions for quasilinear elliptic equations with superlinear nonlinearities
Author affiliations
College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, China
Citation and License
Boundary Value Problems 2012, 2012:90 doi:10.1186/1687-2770-2012-90
Published: 10 August 2012Abstract
Working in a weighted Sobolev space, a new result involving superlinear nonlinearities
for a quasilinear elliptic boundary value problem in a domain in 
is established. The proofs rely on the Galerkin method, Brouwer’s theorem and a new
weighted compact Sobolev-type embedding theorem due to V.L. Shapiro.
MSC: 35J25, 35J62, 65L60.
