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April 12, 2026Analysis and Applications0 citations

Positive Solutions for Nonlocal Schrödinger Equation with Anisotropic N-Laplacian

Positive solutions for a nonlocal Schrodinger type equation involving modified anisotropic N-Laplacian

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Authors

MDMONTI DASSTSweta Tiwari

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Overview

This article demonstrates the existence of positive weak solutions in an anisotropic framework, implying new insights into complex equations.

Key Points

  • To investigate the existence of positive weak solutions for a nonlocal Schrödinger type equation involving the anisotropic N-Laplacian.
  • Considered cases with bounded and unbounded potential
  • Established the Hardy–Littlewood–Sobolev inequality in anisotropic settings
  • Utilized the anisotropic Trudinger–Moser inequality
  • Proved the existence of mountain-pass type positive weak solutions
  • Confirmed that the behavior of nonlinearity influences solution characteristics

Cite This Study

DAS et al. (2026) studied this question.

synapsesocial.com/papers/69db38274fe01fead37c64edhttps://doi.org/10.1142/s0219530526500491
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