Quasilinear equations with indefinite nonlinearity

DOI10.1515/anona-2018-0010zbMath1419.35054OpenAlexW2809210392MaRDI QIDQ2417266

Junfang Zhao, Xiang-Qing Liu, Zhao-sheng Feng

Publication date: 12 June 2019

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2018-0010

zbMATH Keywords

existence of solutionsquasilinear elliptic equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)

Related Items (3)

Infinitely many solutions for a class of biharmonic equations with indefinite potentials ⋮ Combined effects in singular elliptic problems in punctured domain ⋮ Sobolev-Dirichlet problem for quasilinear elliptic equations in generalized Orlicz-Sobolev spaces

Cites Work

• Morse theory for indefinite nonlinear elliptic problems
• Superlinear indefinite elliptic problems and Pohozyaev type identities
• On semilinear elliptic equations with indefinite nonlinearities
• Superlinear indefinite elliptic problems and nonlinear Liouville theorems
• Mountain pass theorem in order intervals and multiple solutions for semilinear elliptic Dirichlet problems
• Elliptic problems with nonlinearities indefinite in sign
• Dirichlet problem with indefinite nonlinearities
• Variational methods for indefinite superlinear homogeneous elliptic problems
• Solutions of elliptic equations with indefinite nonlinearities via Morse theory and linking
• Dual variational methods in critical point theory and applications
• Nonlinear Liouville theorems and a priori estimates for indefinite superlinear elliptic equations
• Quasilinear elliptic equations via perturbation method

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