Positive solutions of polyharmonic equations with strong dependence on the gradient
DOI10.1080/17476930701399047zbMath1130.35041OpenAlexW2161597183MaRDI QIDQ5423144
Jadranka Kraljević, Lana Horvat Dmitrović, Darko Žubrinić, Vesna Županović
Publication date: 22 October 2007
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476930701399047
Smoothness and regularity of solutions to PDEs (35B65) Integro-ordinary differential equations (45J05) Boundary value problems for higher-order elliptic equations (35J40) Integral representations of solutions to PDEs (35C15) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)
Cites Work
- Variational identities and applications to differential systems
- An operator approach to string equations
- The existence of positive entire solutions to singular nonlinear polyharmonic equations in \(\mathbb R^n\)
- Differential systems with strongly indefinite variational structure
- Existence and nonexistence results for critical growth polyharmonic elliptic systems
- Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
- Existence and uniqueness results for polyharmonic equations
- A singular quasilinear polyharmonic problem
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