works on

From the 1 of 6 linked papers with an AI index.

activity
20242026
collaborators

6 papers

math.AP2026

Modified -Laplacian Problem with Parameter and Exponential Nonlinearity on the Heisenberg Group

Ankit Mishra, Sarika Goyal, Divya Goel

The paper proves the existence of positive weak solutions and least‑energy sign‑changing solutions for a modified Q‑Laplacian equation with exponential (Moser‑Trudinger) nonlineari…

math.AP2026

On the existence results for -Harmonic equation with critical Choquard Nonlinearity

Abhishek, Sarika Goyal

This article established the existence results for the -harmonic equation involving critical Choquard nonlinearity and subcritical perturbation. We first explore the minimizers…

math.AP2025

Asymptotic behaviour and existence of positive solutions for mixed local nonlocal elliptic equations with Hardy potential

Shammi Malhotra, Sarika Goyal, K. Sreenadh

We investigate the existence and multiplicity of positive solutions to the following problem driven by the superposition of the Laplacian and the fractional Laplacian with Hardy po…

math.AP2025

-biharmonic Kirchhoff equations with critical Choquard nonlinearity

Divya Goel, Sarika Goyal, Diksha Saini

In this article, we deal with the following involving -biharmonic critical Choquard-Kirchhoff equation $$ \left(a+b\left(\int_{\mathbb R^N}|Δu|^p dx\right)^{θ-1}\right) Δ_{p}…

math.AP2025

On the eigenvalues and Fuč\'ık spectrum of -Laplace local and nonlocal operator with mixed interpolated Hardy term

Shammi Malhotra, Sarika Goyal, K. Sreenadh

In this article, we are concerned with the eigenvalue problem driven by the mixed local and nonlocal -Laplacian operator having the interpolated Hardy term \begin{equation*} \ma…

math.AP2024

Quasilinear Schrödinger Equation involving Critical Hardy Potential and Choquard type Exponential nonlinearity

Shammi Malhotra, Sarika Goyal, K. Sreenadh

In this article, we study the following quasilinear Schrödinger equation involving Hardy potential and Choquard type exponential nonlinearity with a parameter \begin{equation…