
handle: 20.500.11769/18531
This paper is concerned with the study of positive solutions of a class of semilinear elliptic equations with singular nonlinearity, gradient term, and Dirichlet boundary condition. The authors establish sufficient conditions for the existence of classical and weak solutions. The approach combines the method of lower and upper solutions with fixed point theory arguments.
Variational methods for second-order elliptic equations, fixed point theory, Positive solutions to PDEs, variational methods, weak and classical solutions, Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian, Strong solutions to PDEs, Weak solutions to PDEs, singularity, dependence on the gradient
Variational methods for second-order elliptic equations, fixed point theory, Positive solutions to PDEs, variational methods, weak and classical solutions, Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian, Strong solutions to PDEs, Weak solutions to PDEs, singularity, dependence on the gradient
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