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Rakesh Arora

On double phase Kirchhoff problems with singular nonlinearity
2023 · Rakesh Arora, Alessio Fiscella, et al. · Advances in Nonlinear Analysis · 55
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On critical double phase Kirchhoff problems with singular nonlinearity
2022 · Rakesh Arora, Alessio Fiscella, et al. · Rendiconti del Circolo Matematico di Palermo Series 2 · 42
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On logarithmic double phase problems
2025 · Rakesh Arora, Ángel Crespo-Blanco, et al. · Journal of Differential Equations · 35
Combined effects in mixed local–nonlocal stationary problems
2023 · Rakesh Arora, Vicenţiu D. Rădulescu · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 34
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Double-phase parabolic equations with variable growth and nonlinear sources
2022 · Rakesh Arora, Sergey Shmarev · Advances in Nonlinear Analysis · 30
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n-Kirchhoff–Choquard equations with exponential nonlinearity
2019 · R. Arora, J. Giacomoni, et al. · Nonlinear Analysis · 29
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Existence of ground state solutions for a Choquard double phase problem
2023 · Rakesh Arora, Alessio Fiscella, et al. · Nonlinear Analysis Real World Applications · 22
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Regularity results for a class of nonlinear fractional Laplacian and singular problems
2021 · Rakesh Arora, Jacques Giacomoni, et al. · Nonlinear Differential Equations and Applications NoDEA · 20
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Strong solutions of evolution equations with p(x,t)-Laplacian: Existence, global higher integrability of the gradients and second-order regularity
2020 · Rakesh Arora, Sergey Shmarev · Journal of Mathematical Analysis and Applications · 19
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Polyharmonic Kirchhoff problems involving exponential non-linearity of Choquard type with singular weights
2020 · R. Arora, J. Giacomoni, et al. · Nonlinear Analysis · 15
Logarithmic double phase problems with generalized critical growth
2025 · Rakesh Arora, Ángel Crespo-Blanco, et al. · Nonlinear Differential Equations and Applications NoDEA · 14
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A Picone identity for variable exponent operators and applications
2019 · Rakesh Arora, Jacques Giacomoni, et al. · Advances in Nonlinear Analysis · 14
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Existence and regularity results for a class of parabolic problems with double phase flux of variable growth
2022 · Rakesh Arora, Sergey Shmarev · Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas · 11
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Optimal global second-order regularity and improved integrability for parabolic equations with variable growth
2024 · Rakesh Arora, Sergey Shmarev · Advances in Nonlinear Analysis · 8
Adams–Moser–Trudinger inequality in the Cartesian product of Sobolev spaces and its applications
2020 · R. Arora, J. Giacomoni, et al. · Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas · 8
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Multiplicity results for nonhomogeneous elliptic equations with singular nonlinearities
2022 · Rakesh Arora · Communications on Pure &amp Applied Analysis · 7
Positive solutions of 1-D half Laplacian equation with singular and exponential nonlinearity
2019 · R. Arora, J. Giacomoni, et al. · Asymptotic Analysis · 6
Existence and global second-order regularity for anisotropic parabolic equations with variable growth
2022 · Rakesh Arora, Sergey Shmarev · Journal of Differential Equations · 5
Symmetry of solutions to singular fractional elliptic equations and applications
2020 · Rakesh Arora, Jacques Giacomoni, et al. · Comptes Rendus Mathématique · 4
Nonlocal elliptic equations with singular reaction
2025 · Rakesh Arora, Phuoc-Tai Nguyen, et al. · Analysis and Applications · 3
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On the Fučík spectrum of the Logarithmic Laplacian
2026 · Rakesh Arora, Tuhina Mukherjee · Calculus of Variations and Partial Differential Equations · 2
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The Brezis-Nirenberg and logistic problem for the Logarithmic Laplacian
2025 · Arora, Rakesh, Giacomoni, Jacques, et al. · arXiv (Cornell University) · 2
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Global gradient estimates for solutions of parabolic equations with nonstandard growth
2025 · Rakesh Arora, Sergey Shmarev · Journal of Mathematical Analysis and Applications · 2
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Fine properties of solutions for quasi-linear elliptic and parabolic equations with non-local and non-standard growth
2020 · Rakesh Arora · 2
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Double phase parabolic problem with variable growth
2020 · Rakesh Arora, Sergey Shmarev · arXiv (Cornell University) · 2
Works count: 41
Citation count: 399
H-index: 12
I10-index: 13
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