Existence of a positive solution for problems with \((p,q)\)-Laplacian and convection term in \(\mathbb R^N\)

DOI10.1186/s13661-016-0665-9zbMath1347.35122OpenAlexW2513679109WikidataQ59471857 ScholiaQ59471857MaRDI QIDQ308561

Mieko Tanaka, Luiz F. O. Faria, Olímpio Hiroshi Miyagaki

Publication date: 6 September 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-016-0665-9

zbMATH Keywords

comparisonmaximum principlepositive solution\((p,q)\)-Laplacianconvection termsubsupersolution methods

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92) Comparison principles in context of PDEs (35B51) Topological and monotonicity methods applied to PDEs (35A16)

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Existence of solution for a supercritical nonlinear Schrödinger equation ⋮ Inclusion problems via subsolution–supersolution method with applications to hemivariational inequalities ⋮ Existence of positive solutions for a class of \( p \& q\) elliptic problem with critical exponent and discontinuous nonlinearity ⋮ (p, q)–Laplacian Equations with Convection Term and an Intrinsic Operator ⋮ Existence of positive solutions for a class of quasilinear elliptic problems with exponential growth via the Nehari manifold method ⋮ A sub-supersolution approach for Neumann boundary value problems with gradient dependence ⋮ Existence of solutions for (p, q)-Laplacian equations with an indefinite potential ⋮ Positive solutions to nonlinear inclusion problems in Orlicz–Sobolev spaces ⋮ Multiple positive solutions for a \((p,q)\)-Laplace equation involving singular and critical terms ⋮ Existence, nonexistence, and asymptotic behavior of solutions for \(N\)-Laplacian equations involving critical exponential growth in the whole \({\mathbb{R}}^N\) ⋮ Strongly singular convective elliptic equations in \(\mathbb{R}^N\) driven by a non-homogeneous operator

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