Existence Results for the p-Laplacian with Nonlinear Boundary Conditions☆☆☆

147 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Uniqueness (2021, unknown): “Here we prove that (4.9) has at most one positive weak solution; see [17, Theorem 1.2] for the existence of inﬁnitely many sign-changing weak solutions.”
A Nonlinear eigenvalue problem with indefinite weights related to the Sobolev trace embedding (2002, background): “First we extend the results in [13] and [15] to our more general setting and study the dependence of the first eigenvalue with respect to the weight.”
A variational approach to ice stream flow (2006, background): “Use of (B 2) as well as Hölder’s inequality then leads to (see also Fernandez Bonder & Rossi 2001; Schoof 2006) (2Bh0Cp) p/2 ∫ Ω |D(u2 − u1)|p dΩ ( 21+1/2R0 )(2−p)p/2 p/2, (B 14) where is defined on the last line of (B 13).”