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math.AP2025★ 1 cited
Superlinear problems involving nonlinear superposition operators of mixed fractional order
Souvik Bhowmick, Sekhar Ghosh, Vishvesh Kumar
In this work, we study a class of elliptic problems involving nonlinear superpositions of fractional operators of the form \[ A_{μ,p}u := \int_{[0,1]} (-Δ)_{p}^{s} u \, dμ(s), \] w…
math.AP2025
Infinitely many solutions for nonlinear superposition operators of mixed fractional order involving critical exponent
Souvik Bhowmick, Sekhar Ghosh, Vishvesh Kumar
This paper addresses a class of elliptic problems involving the superposition of nonlinear fractional operators with the critical Sobolev exponent in the sublinear regimes. We esta…
math.AP2025
On sign-changing solutions for mixed local and nonlocal -Laplace operator
Souvik Bhowmick, Sekhar Ghosh
In this paper, we use the method of invariant sets of descending flows to demonstrate the existence of multiple sign-changing solutions for a class of elliptic problems with zero D…