Vishvesh Kumar

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Publications (73)

• Fujita-type results for the semilinear heat equations driven by mixed local-nonlocal operators
  Journal of Differential Equations 2026 DOI: 10.1016/j.jde.2026.114241
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• Nonlocal subelliptic systems involving concave–convex nonlinearities on stratified Lie groups
  Bulletin of Mathematical Sciences 2026 DOI: 10.1142/S1664360726500025
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• Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups
  Calculus of Variations and Partial Differential Equations 2026 DOI: 10.1007/s00526-025-03191-3
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• Subelliptic nonlocal Brezis–Nirenberg problems on stratified Lie groups
  Communications in Contemporary Mathematics 2026 DOI: 10.1142/S0219199725500798
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• Anharmonic semigroups and applications to global well-posedness of nonlinear heat equations
  Journal of Mathematical Physics 2025 DOI: 10.1063/5.0219555
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• Titchmarsh theorems on Damek–Ricci spaces via moduli of continuity of higher order
  International Journal of Mathematics 2025 DOI: 10.1142/S0129167X25500016
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• Compact embeddings, eigenvalue problems, and subelliptic Brezis–Nirenberg equations involving singularity on stratified Lie groups
  Mathematische Annalen 2024 DOI: 10.1007/s00208-023-02609-7
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• Blow-Up Result For  Semilinear Damped Wave Equations   With  Data from Negative Order Sobolev Spaces:  the Critical Case
  2024 DOI: 10.2139/ssrn.4930191
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• A direct method of moving planes for logarithmic Schrödinger operator
  Zeitschrift für Analysis und ihre Anwendungen 2024 DOI: 10.4171/zaa/1757
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• Functional Inequalities on Symmetric Spaces of Noncompact Type and Applications
  The Journal of Geometric Analysis 2024 DOI: 10.1007/s12220-024-01644-3
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