Two nontrivial solutions for a class of anisotropic variable exponent problems

DOI10.11650/twjm/1500406732zbMath1263.35086OpenAlexW1484783230MaRDI QIDQ1936060

Denisa Stancu-Dumitru

Publication date: 21 February 2013

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://journal.taiwanmathsoc.org.tw/index.php/TJM/article/view/2216

zbMATH Keywords

weak solutioncritical pointRicceri's variational principleanisotropic variable exponent equation

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Boundary value problems for higher-order elliptic equations (35J40) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Weak solutions to PDEs (35D30) Variational methods for higher-order elliptic equations (35J35)

Related Items (9)

Existence results for a \(p(x)\)-Kirchhoff-type equation without Ambrosetti-Rabinowitz condition ⋮ On a class of anisotropic nonlinear elliptic equations with variable exponent ⋮ Entropy solutions for nonlinear elliptic anisotropic homogeneous Neumann problem ⋮ A multiplicity result for an elliptic anisotropic differential inclusion involving variable exponents ⋮ On a class of anisotropic elliptic equations without Ambrosetti-Rabinowitz type conditions ⋮ Existence of three solutions for a Neumann problem involving thep(x)-Laplace operator ⋮ Solutions for a variable exponent Neumann boundary value problems with Hardy critical exponent ⋮ Some remarks on an eigenvalue problem for an anisotropic elliptic equation with indefinite weight ⋮ Nontrivial solution for an anisotropic variable exponent problem with Neumann boundary condition

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