Positive radial solutions to classes of singular problems on the exterior domain of a ball

Analysis of positive solutions for a class of semipositone <i>p</i>-Laplacian problems with nonlinear boundary conditions

“…When p = 2 and α = 0, the authors in [2] established the nonexistence of a positive solution for λ ≈ 0 and the existence result for λ 1. In [10], the authors extended these results to the case when p = 2 and α = 0. Theorems 1.1 -1.2 are extensions of these results in [2] and [10] to the case p > 1.…”

“…In [10], the authors extended these results to the case when p = 2 and α = 0. Theorems 1.1 -1.2 are extensions of these results in [2] and [10] to the case p > 1. Further, in [9], the uniqueness result for λ 1 was established when p = 2 and α = 0.…”

Existence Solutions for a Singular Nonlinear Problem with Dirichlet Boundary Conditions on Exterior Domains

“…The existence and uniqueness of solutions, particularly in second-order PDEs with specified initial conditions, form a fundamental aspect of this field [3,4,5]. The existence of a positive solution of (1) on R N with K(r) ≡ 1 has been studied extensively [6,7,8,9,10,11].…”

Non-Zero Radial Solutions for Elliptic Systems with Coupled Functional BCs in Exterior Domains

“…In the context of non-homogeneous BCs, elliptic problems in exterior domains were studied by Aftalion and Busca [2] and doÓ et al [13][14][15][16], and nonlinear BCs were investigated by Butler and others [4], Dhanya et al [9], Ko and co-authors [33], and Lee and others [40].…”