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math.AP2011★ 14 cited
Local and global behaviour of nonlinear equations with natural growth terms
Benjamin J. Jaye, Igor E. Verbitsky
This paper concerns a study of the pointwise behaviour of positive solutions to certain quasi-linear elliptic equations with natural growth terms, under minimal regularity assumpti…
math.CA2011
On the Good- inequality for nonlinear potentials
Petr Honzík, Benjamin J. Jaye
This note concerns an extension of the good- inequality for fractional integrals, due to B. Muckenhoupt and R. Wheeden. The classical result is refined in two aspects. Firstly,…
math.AP2011
Existence and regularity of positive solutions to elliptic equations of Schrödinger type
Benjamin J. Jaye, Vladimir G. Maz'ya, Igor E. Verbitsky
We prove the existence of positive solutions with optimal local regularity to homogeneous elliptic equations of Schrödinger type, under only a form boundedness assumption on $σ\in…