On variational competing \(\left( p , q\right) -\) Laplacian Dirichlet problem with gradient depending weight

DOI10.1016/j.aml.2023.108881zbMath1529.35264OpenAlexW4387219590MaRDI QIDQ6066903

Marek Galewski, Motreanu, Dumitru

Publication date: 16 November 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2023.108881

zbMATH Keywords

Galerkin methodexistencecompeting \((p, q)\)-Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

• Quasilinear Dirichlet problems with competing operators and convection
• Variable exponent \(p(x)\)-Kirchhoff type problem with convection
• Kirchhoff-type problems involving logarithmic nonlinearity with variable exponent and convection term
• Variational differential inclusions without ellipticity condition
• The existence of solutions for the modified <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns="http://www.w3.org/1998/Math/MathML"> <mml:mo stretchy="false">(</mml:mo> <mml:mi>p</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>x</mml:mi> <mml:mo stretchy="false">)</mml:mo> <mml:mo>,</mml:mo> <mml:mi>q</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>x</mml:mi> <mml:mo stretchy="false">)</mml:mo> <mml:mo stretchy="false">)</mml:mo> </mml:math>-Kirchhoff equation
• Degenerated and Competing Horizontal (p, q)-Laplacians with Weights on the Heisenberg Group
• Nonstandard competing anisotropic \((p,q)\)-Laplacians with convolution
• Multiplicity of solutions for nonlinear coercive problems

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