Publications on 1-, p(x) and infinity-Laplacian
1. On the well-posedness of a two-phase minimization problem. J. Math. Anal. Appl. 378:1 (2011), 159-168 (with J.M. Urbano, preprint available here).
2. Adaptive diffusion constrained total variation scheme with application to cartoon + texture + edge image decomposition, submitted (with Juan C. Moreno, V. B. Surya Prasath, K. Palaniappan and H. Proença, preprint available here).
3. Generalized solutions for inextensible string equations, with Y. Şengül, J. Diff. Equ., 262(6):3610–3641, 2017.
4. Multiscale Tikhonov-total variation image restoration using spatially varying edge coherence exponent scheme, with multiple co-authors, IEEE Trans. Image Proc., DOI: 10.1109/TIP.2015.2479471.
5. On an adaptive forward-backward diffusion problem in image processing, with V. B. Surya Prasath and J.M. Urbano, Inverse Problems 31 (2015) 105008 (preprint available here).
6. On time adaptive critical variable exponent vectorial diffusion flows and their applications in image processing (with V. B. Surya Prasath, preprint available at ArXiv).