SG
Sekhar Ghosh
math.AP22E3035H2035P3035R0335R11math.SP
On Valency
published · living versionsW_wsz7n4sd·v1 · currentpublished
On the Principal Eigenvalue of the -Laplacian with Sign-Changing Morrey Potentials: Complete Continuity, Optimization, and Differentiability
with Pradeep Gupta, Ratan Kr. Giri
1 version
Preprints & journals
24 papers in the corpus · 2017–2026A positive ground state for a planar Choquard equation with mixed diffusion and critical exponential growth2606.30522v1 · Shaoxiong Chen, Sekhar Ghosh, Vishvesh Kumar et al.2026 · 0 citationsarXiv
Mixed local-nonlocal quasilinear problems with mixed interpolated Hardy potential2606.29348v1 · Yergen Aikyn, Sekhar Ghosh, Vishvesh Kumar et al.2026 · 0 citationsarXiv
On weak and viscosity solutions to a nonhomogeneous mixed local-nonlocal equation2606.20099v1 · R. Lakshmi, Sekhar Ghosh2026 · 0 citationsarXiv
Harnack inequality for superposition operators of mixed fractional order2606.01449v1 · Souvik Bhowmick, Sekhar Ghosh, Vishvesh Kumar et al.2026 · 0 citationsarXiv
Regularity of superposition operators of mixed fractional order2605.15346v1 · Souvik Bhowmick, Sekhar Ghosh, Vishvesh Kumar et al.2026 · 0 citationsarXiv
Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups.41399752 · Ghosh, Sekhar, Kumar, Vishvesh, Ruzhansky, Michael2026 · 3 citationsCalculus of variations and partial differential equations. 2026;65(1):28
Spectral analysis, maximum principles and shape optimization for nonlinear superposition operators of mixed fractional order2511.02978v2 · Yergen Aikyn, Sekhar Ghosh, Vishvesh Kumar et al.2025 · 0 citationsarXiv
Fractional Morrey-Sobolev type embeddings and nonlocal subelliptic problems with oscillating nonlinearities on stratified Lie groups2509.18587v1 · Sekhar Ghosh, Tianxiang Gou, Vishvesh Kumar et al.2025 · 0 citationsarXiv
Superlinear problems involving nonlinear superposition operators of mixed fractional order2509.00817v1 · Souvik Bhowmick, Sekhar Ghosh, Vishvesh Kumar2025 · 1 citationarXiv
Infinitely many solutions for nonlinear superposition operators of mixed fractional order involving critical exponent2506.11832v2 · Souvik Bhowmick, Sekhar Ghosh, Vishvesh Kumar2025 · 1 citationarXiv
On equivalence of weak and viscosity solutions to nonlocal double phase problems with nonhomogeneous data2505.16461v2 · Sekhar Ghosh, R. Lakshmi, Chao Zhang2025 · 1 citationarXiv
Brezis-Nirenberg type problems associated with nonlinear superposition operators of mixed fractional order2504.05105v1 · Yergen Aikyn, Sekhar Ghosh, Vishvesh Kumar et al.2025 · 0 citationsarXiv
Critical Equations Involving Nonlocal Subelliptic Operators on Stratified Lie Groups: Spectrum, Bifurcation and Multiplicity2501.12791v2 · Sekhar Ghosh, Vishvesh Kumar2025 · 0 citationsarXiv
Existence results for mixed local and nonlocal elliptic equations involving singularity and nonregular data2410.04441v1 · Souvik Bhowmick, Sekhar Ghosh2024 · 6 citationsarXiv
Subelliptic Nonlocal Brezis-Nirenberg Problems on Stratified Lie Groups2409.03867v1 · Sekhar Ghosh, Vishvesh Kumar, Michael Ruzhansky2024 · 1 citationCommunications in Contemporary Mathematics, 2025
A weighted eigenvalue problem for mixed local and nonlocal operators with potential2409.01349v1 · R. Lakshmi, Ratan Kr. Giri, Sekhar Ghosh2024 · 1 citationarXiv
Compact Embeddings, Eigenvalue Problems, and subelliptic Brezis-Nirenberg equations involving singularity on stratified Lie groups2205.06007v2 · Sekhar Ghosh, Vishvesh Kumar, Michael Ruzhansky2022 · 18 citationsMathematische Annalen, 388(4):4201-4249, 2024
Existence of at least solutions to a fractional -Kirchhoff problem involving singularity and critical exponent2007.02345v3 · Sekhar Ghosh, Debajyoti Choudhuri, Alessio Fiscella2020 · 4 citationsarXiv
An existence result for singular fractional Kirchhoff-Schrödinger-Poisson system1909.13350v2 · Sekhar Ghosh2019 · 8 citationsComplex Variables and Elliptic Equations (2021), pp. 1-30
Least energy sign-changing solution of fractional -Laplacian problems involving singularities1906.02225v1 · Sekhar Ghosh, Kamel Saoudi, Mouna Kratou et al.2019 · 8 citationsDynamics of Partial Differential Equations (2020), Volume 17, Issue 2, pp. 97-115
Existence of infinitely many solutions for a nonlocal elliptic PDE involving singularity1812.01838v2 · S. Ghosh, D. Choudhuri2018 · 12 citationsPositivity (2020), Volume 24, Issue 2, Pages 463-479
Multiplicity and Hölder regularity of solutions for a nonlocal elliptic PDE involving singularity1808.02469v2 · Kamel Saoudi, Sekhar Ghosh, Debajyoti Choudhuri2018 · 45 citationsJournal of Mathematical Physics (2019), Volume 60, Issue 10, 28 pp. 101509
Multiplicity of solutions to an elliptic problem with singularity and measure data1804.05590v2 · S. Ghosh, A. Panda, D. Choudhuri2018 · 0 citationsElectronic Journal of Differential Equations, Vol. 2019 (2019), No. 60, pp. 1-21
Elliptic Partial Differential Equation Involving a Singularity and a Radon measure1709.00905v4 · A. Panda, S. Ghosh, D. Choudhuri2017 · 10 citationsThe Journal of the Indian Mathematical Society (2019), Volume 86, Issue 1-2, pp. 95-117
Career total: 54 works. 24 are in this corpus.
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