A variational approach to superlinear semipositone elliptic problems

DOI10.1090/PROC/13426zbMath1367.35070OpenAlexW2510763167MaRDI QIDQ2970081

Humberto Ramos Quoirin, Hossein Tehrani, David Goldstein Costa

Publication date: 27 March 2017

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

Full work available at URL: https://doi.org/10.1090/proc/13426

zbMATH Keywords

variational methodselliptic problemssuperlinear semipositone nonlinearities

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (12)

Existence of positive solutions for a class of semipositone quasilinear problems through Orlicz-Sobolev space ⋮ On the fourth order semipositone problem in \(\mathbb{R}^N\) ⋮ Positive solutions for a class semipositone quasilinear problem with Orlicz–Sobolev critical growth ⋮ A priori bounds and multiplicity results for slightly superlinear and sublinear elliptic \(p\)-Laplacian equations ⋮ Universal estimates and Liouville theorems for superlinear problems without scale invariance ⋮ Positive solutions of indefinite semipositone elliptic problems ⋮ A nonsmooth variational approach to semipositone quasilinear problems in \(\mathbb{R}^N\) ⋮ Existence of positive solutions for a class of semipositone problems with Kirchhoff operator ⋮ Existence of positive solutions for a class of semipositone problem in whole ℝ^N ⋮ On a class of semipositone problems with singular Trudinger-Moser nonlinearities ⋮ A multiparameter fractional Laplace problem with semipositone nonlinearity ⋮ Positive solutions for semipositone \((p,N)\)-Laplacian problems with critical Trudinger-Moser nonlinearities

Cites Work

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• Existence results for classes of sublinear semipositone problems
• On positive solutions of one-dimensional semipositone equations with nonlinear boundary conditions
• Positive solutions of elliptic non-positone problems
• On semilinear elliptic equations with indefinite nonlinearities
• Positive solutions for some semi-positone problems via bifurcation theory
• Some continuation properties via minimax arguments
• UNIQUENESS AND NONEXISTENCE OF POSITIVE SOLUTIONS TO SEMIPOSITONE PROBLEMS
• Existence of positive solutions for a class of p-Laplacian superlinear semipositone problems
• Non-negative solutions for a class of non-positone problems
• Non-Negative Solutions for a Class of Radially Symmetric Non-Positone Problems
• Positive solutions for a concave semipositone Dirichlet problem
• Positive solution curves of semipositone problems with concave nonlinearities
• Uniqueness and Stability of Nonnegative Solutions for Semipositone Problems in a Ball
• Uniqueness of non-negative solutions for a semipositone problem with concave nonlinearity
• Existence results for superlinear semipositone BVP’s
• Regularly varying functions

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