Nonhomogeneous boundary value problems for some nonlinear equations with singular phi-Laplacian

Bereanu, Cristian;Mawhin, Jean
(2009) Journal of Mathematical Analysis and Applications — Vol. 352, n° 1, p. 218-233 (2009)

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  • Bereanu, CristianUCLouvain
    Author
  • Mawhin, JeanUCLouvain
    Author
Abstract
Using Leray-Schauder degree theory we obtain various existence results for the quasilinear equation problems (phi(u'))' = f(t, u, u') submitted to nonhomogeneous Dirichlet or nonlinear Neumann-Steklov boundary conditions on [0, T], when phi:]-a, a[ -> R is an increasing homeomorphism, phi(0) = 0. We compare the results with the ones proved earlier in the homogeneous case. (C) 2008 Elsevier Inc. All rights reserved.
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Bereanu, C., & Mawhin, J. (2009). Nonhomogeneous boundary value problems for some nonlinear equations with singular phi-Laplacian. Journal of Mathematical Analysis and Applications, 352(1), 218-233. https://doi.org/10.1016/j.jmaa.2008.04.025 (Original work published 2009)