Abstarct: This dissertation investigates the nonlinear buckling and post-buckling behavior of double-curved functionally graded porous nanopanels subjected to uniform transverse pressure in a thermal environment and resting on an elastic foundation. The primary objective is to develop analytical models for assessing the structural stability of such systems, accounting for small-scale effects, temperature-dependent material properties, and various porosity distributions. To this end, the higher-order shear deformation theory for shells, the nonlocal strain gradient theory, and nonlinear von Kármán kinematic relations incorporating initial geometric imperfections are employed. The governing equilibrium equations are derived using the principle of minimum total potential energy. A two-step perturbation method is then applied to solve these equations analytically, enabling accurate predictions of the system’s nonlinear response under different loading and boundary conditions. Key innovations of this research include the development of a novel analytical model for double-curved porous nanostructures, incorporation of temperature-dependent material properties and three types of porosity distributions, analysis of the influence of initial geometric imperfections and clamped boundary conditions on post-buckling behavior, and formulation of dimensionless nonlinear equilibrium equations for nanoscale structural modeling and design. Numerical results reveal that increasing the curvature-to-thickness ratio, porosity volume, and ambient temperature reduces the critical load and structural stability, whereas enhancing foundation stiffness and employing optimal porosity distributions improves post-buckling resistance. Moreover, the role of initial imperfections in triggering pre-buckling phenomena and altering post-buckling equilibrium paths is clearly demonstrated. The proposed models are applicable to the design and analysis of advanced structures in various fields, including nanoelectromechanical systems (NEMS), biomedical nanostructures and drug delivery platforms, aerospace components, memory-enabled nanolaxyers, and piezoelectric actuators. By presenting a rigorous and comprehensive analytical frxamework, this study contributes meaningfully to the advancement of nonlocal continuum mechanics and the design of functionally graded porous structures at the nanoscale.