Volume 4, Issue 1
On the Sum of Operators of $p$-Laplacian Types

M. Chipot

Commun. Math. Anal. Appl., 4 (2025), pp. 1-16.

Published online: 2025-02

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  • Abstract

The goal of this paper is to study operators sum of $p$-Laplacian type operators. We address the problems of existence and uniqueness of solutions, this last point leading to some challenging issues in the case of quasilinear combinations of such $p$-Laplacians.

  • AMS Subject Headings

35A15, 35J60, 35J66, 35J92

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COPYRIGHT: © Global Science Press

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@Article{CMAA-4-1, author = {Chipot , M.}, title = {On the Sum of Operators of $p$-Laplacian Types}, journal = {Communications in Mathematical Analysis and Applications}, year = {2025}, volume = {4}, number = {1}, pages = {1--16}, abstract = {

The goal of this paper is to study operators sum of $p$-Laplacian type operators. We address the problems of existence and uniqueness of solutions, this last point leading to some challenging issues in the case of quasilinear combinations of such $p$-Laplacians.

}, issn = {2790-1939}, doi = {https://doi.org/10.4208/cmaa.2024-0004}, url = {http://global-sci.org/intro/article_detail/cmaa/23789.html} }
TY - JOUR T1 - On the Sum of Operators of $p$-Laplacian Types AU - Chipot , M. JO - Communications in Mathematical Analysis and Applications VL - 1 SP - 1 EP - 16 PY - 2025 DA - 2025/02 SN - 4 DO - http://doi.org/10.4208/cmaa.2024-0004 UR - https://global-sci.org/intro/article_detail/cmaa/23789.html KW - $p$-Laplacian, nonlinear elliptic operators, existence, uniqueness. AB -

The goal of this paper is to study operators sum of $p$-Laplacian type operators. We address the problems of existence and uniqueness of solutions, this last point leading to some challenging issues in the case of quasilinear combinations of such $p$-Laplacians.

Chipot , M.. (2025). On the Sum of Operators of $p$-Laplacian Types. Communications in Mathematical Analysis and Applications. 4 (1). 1-16. doi:10.4208/cmaa.2024-0004
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