Existence of nontrivial solution for fourth-order semilinear <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>Δ</mml:mi><mml:mi>γ</mml:mi></mml:msub></mml:mrow></mml:math>-Laplace equation in

DOI10.14232/ejqtde.2019.1.78zbMath1449.35212OpenAlexW2985111098MaRDI QIDQ5218043

Duong Trong Luyen

Publication date: 26 February 2020

Published in: Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14232/ejqtde.2019.1.78

zbMATH Keywords

mountain pass theoremnontrivial solutionsCerami sequences\(\Delta_\gamma\)-Laplace operatorfourth-order semilinear degenerate elliptic equations

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Semilinear elliptic equations (35J61) Higher-order elliptic systems (35J48)

Related Items (6)

Unnamed Item ⋮ Nontrivial solutions to boundary value problems for semilinear \(\Delta_\gamma\)-differential equations. ⋮ Picone's identity for \(\Delta_\gamma \)-Laplace operator and its applications ⋮ Infinitely many solutions for fourth-order semilinear \(\Delta_{\gamma}\)-Laplace equation in \(\mathbb{R}^N\) ⋮ Unnamed Item ⋮ Existence and non-existence of solutions for semilinear bi-\(\Delta_{\gamma}\)-Laplace equation

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