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math.AP2026
Gradient estimates for generalized double phase problems with two modulating coefficients
Jehan Oh, Ambesh Kumar Pandey
We establish Calderón-Zygmund estimates for solutions to non-uniformly elliptic equations in divergence form modeled on the generalized double phase structure $$Ψ(x,z)=a(x)G(|z|)+b…
math.AP2025
Pohožaev identity and the existence of normalized ground state solutions for variable exponent problems
Nidhi Nidhi, Ambesh Kumar Pandey, K. Sreenadh
In this article, we investigate normalized solutions for nonlinear problems involving variable exponents. To the best of our knowledge, normalized solutions have not been previousl…
math.AP2025
Multiplicity results for mixed local-nonlocal variable exponent problem involving singular and superlinear term
Shammi Malhotra, Ambesh Kumar Pandey, K. Sreenadh
In this paper, we study a class of quasilinear elliptic equations involving both local and nonlocal operators with variable exponents. The problem exhibits singular nonlinearities…