Non-existence and existence of entire solutions for a quasi-linear problem with singular and super-linear terms

DOI10.1016/j.na.2010.01.017zbMath1189.35104OpenAlexW1989685337MaRDI QIDQ960904

Carlos Alberto Santos

Publication date: 29 March 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.01.017

zbMATH Keywords

non-existencesingular problemsentire solutionssub-linear and super-linear terms

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (13)

Positive solutions for a quasilinear elliptic problem involving sublinear and superlinear terms ⋮ On the existence and asymptotic behaviour of bounded positive entire solutions for quasilinear elliptic problems ⋮ Pohozaev-type inequalities and their applications for elliptic equations ⋮ Some recent results on singular \(p\)-Laplacian equations ⋮ Positive solutions for a mixed and singular quasilinear problem ⋮ Maximal domains of the \((\lambda, \mu )\)-parameters to existence of entire positive solutions for singular quasilinear elliptic systems ⋮ Existence and nonexistence of positive solutions for singular \(p\)-Laplacian equation in \(\mathbb R^N\) ⋮ Existence of multiple solutions for a singular quasilinear elliptic equation in \(\mathbb R^N\). ⋮ Remarks on nonexistence of solutions of mixed sublinear and superlinear elliptic equation in \(\mathbb R^N\) ⋮ Existence and nonexistence of positive solutions for quasilinear elliptic problem ⋮ Asymptotic behavior of positive solutions of a nonlinear combined \(p\)-Laplacian equation ⋮ Existence of solutions for quasilinear elliptic exterior problem with the concave-convex nonlinearities and the nonlinear boundary conditions ⋮ Existence and boundary behavior of solutions to \(p\)-Laplacian elliptic equations

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