A three solutions theorem for Pucci's extremal operator and its application

DOI10.12775/TMNA.2020.066zbMath1484.35174OpenAlexW3201178966MaRDI QIDQ2075671

Ram Baran Verma, Mohan Mallick

Publication date: 15 February 2022

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2020.066

zbMATH Keywords

nonlinear elliptic equationDirichlet conditionexistence of three positive solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Cites Work

• Unnamed Item
• A three solution theorem for singular nonlinear elliptic boundary value problems
• Multiple positive solutions for classes of elliptic systems with combined nonlinear effects.
• Multiplicity results for extremal operators through bifurcation
• Existence of a positive solution to a ``semilinear equation involving Pucci's operator in a convex domain.
• Landesman-Lazer type results for second order Hamilton-Jacobi-Bellman equations
• \(W^{2,p}\)- and \(W^{1,p}\)-estimates at the boundary for solutions of fully nonlinear, uniformly elliptic equations
• Multiplicity of solutions to uniformly elliptic fully nonlinear equations with concave-convex right-hand side
• Existence and multiplicity of positive solutions for classes of singular elliptic PDEs
• On critical exponents for the Pucci's extremal operators.
• Positive solutions for classes of \(p\)-Laplacian equations
• On the Liouville property for fully nonlinear equations
• A priori bounds and multiplicity for fully nonlinear equations with quadratic growth in the gradient
• Nonlinear eigenvalues and bifurcation problems for Pucci's operators
• Positive radial solutions to a {\` semilinear\'} equation involving the Pucci's operator
• Multiplicity solutions for fully nonlinear equation involving nonlinearity with zeros
• Symmetry properties of positive solutions for fully nonlinear elliptic systems
• Multiple positive solutions for classes of \(p\)-Laplacian equations.
• Multiple positive solutions for elliptic boundary value problems
• Principal eigenvalues and the Dirichlet problem for fully nonlinear elliptic operators
• A survey on the existence, uniqueness and regularity questions to fully nonlinear elliptic partial differential equations
• Boundary Regularity for Viscosity Solutions of Fully Nonlinear Elliptic Equations
• S-shaped bifurcation curves
• User’s guide to viscosity solutions of second order partial differential equations
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Elliptic Partial Differential Equations of Second Order
• On viscosity solutions of fully nonlinear equations with measurable ingredients
• Nonuniqueness for the Dirichlet Problem for Fully Nonlinear Elliptic Operators and the Ambrosetti–Prodi Phenomenon
• Some Recent Results on Equations Involving the Pucci’s Extremal Operators
• Critical exponents for uniformly elliptic extremal operators
• Existence Results for Nonproper Elliptic Equations Involving the Pucci Operator

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