Nonpositone Elliptic Problems in ℝ n

DOI10.2307/2160911zbMath0812.35035OpenAlexW4234938181MaRDI QIDQ4318438

P. O. Odiobala, Walter Allegretto

Publication date: 23 January 1995

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2160911

zbMATH Keywords

mountain pass theoremweighted Sobolev spacepositive solutionsemilinear elliptic problemdecaying solution

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (10)

\(\mathcal{D}^{1,2}(\mathbb{R}^N)\) versus \(C(\mathbb{R}^N)\) local minimizer and a Hopf-type maximum principle ⋮ Positive solutions to superlinear semipositone problems on the exterior of a ball ⋮ A heterogeneous diffusive logistic model with constant yield harvesting in \(\mathbb{R}^N\) under strong growth rate ⋮ Positive solutions for a class of semipositone Neumann problems ⋮ Exact multiplicity of positive solutions of a semipositone problem with concave-convex nonlinearity ⋮ \(\mathcal{D}^{1,2}(\mathbb{R}^N)\) versus \(C(\mathbb{R}^N)\) local minimizer on manifolds and multiple solutions for zero-mass equations in \(\mathbb{R}^N\) ⋮ Estimates at infinity for positive solutions to a class of \(p\)-Laplacian problems in \(\mathbb R^N\) ⋮ Extremal and sign-changing solutions of supercritical logistic-type equations in \(\mathbb {R}^N\) ⋮ Positive solutions to logistic type equations with harvesting ⋮ Some properties of the Riesz potentials in Dunkl analysis

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