Some elliptic problems involving the gradient on general bounded and exterior domains

DOI10.1007/S00526-021-02066-7zbMath1473.35284arXiv2004.06221OpenAlexW3191783495WikidataQ115386458 ScholiaQ115386458MaRDI QIDQ2048906

Yanyan Li

Publication date: 24 August 2021

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.06221

zbMATH Keywords

Dirichlet problemexistencesemilinear equations with Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (2)

A nonlinear elliptic problem involving the gradient on a half space ⋮ \(q\)-Laplace equation involving the gradient on general bounded and exterior domains

Cites Work

• Unnamed Item
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• Isolated singularities of positive solutions of elliptic equations with weighted gradient term
• Boundary singularities of solutions to elliptic viscous Hamilton-Jacobi equations
• Local and global properties of solutions of quasilinear Hamilton-Jacobi equations
• Continuum of solutions for an elliptic problem with critical growth in the gradient
• Some elliptic problems with singular natural growth lower order terms
• A construction of singular solutions for a semilinear elliptic equation using asymptotic analysis
• Boundary blow-up elliptic problems with nonlinear gradient terms
• Standing waves for supercritical nonlinear Schrödinger equations
• Existence and classification of singular solutions to nonlinear elliptic equations with a gradient term
• On a nonlinear partial differential equation having natural growth terms and unbounded solution
• Fast and slow decay solutions for supercritical elliptic problems in exterior domains
• Existence and nonexistence of solutions for singular quadratic quasilinear equations
• Nonlinear elliptic equations with singular boundary conditions and stochastic control with state constraints. I: The model problem
• \(L^{\infty}\)-estimates for nonlinear elliptic problems with \(p\)-growth in the gradient
• Two-bubble solutions in the super-critical Bahri-Coron's problem
• Linear and nonlinear aspects of vortices. The Ginzburg-Landau model
• Nonlinear problems having natural growth in the gradient: an existence result when the source terms are small
• Elliptic partial differential equations of second order
• Existence and regularity of nonlinear advection problems
• Singular solutions of elliptic equations involving nonlinear gradient terms on perturbations of the ball
• Singular solutions of elliptic equations on a perturbed cone
• Quelques remarques sur les problèmes elliptiques quasilinéaires du second ordre. (Some remarks on second order quasilinear elliptic problems)
• Existence results for a class of nonlinear elliptic problems with \(p\)-growth in the gradient
• Elliptic equations having a singular quadratic gradient term and a changing sign datum
• Singular solutions of a \(p\)-Laplace equation involving the gradient
• Singular solutions of a Lane-Emden system
• A priori estimates for elliptic problems with a strongly singular gradient term and a general datum.
• Remarks on the uniqueness for quasilinear elliptic equations with quadratic growth conditions
• Nonexistence results for elliptic problems with supercritical nonlinearity in nontrivial domains
• Nonlinear elliptic equations having a gradient term with natural growth
• Existence and a priori estimate for elliptic problems with subquadratic gradient dependent terms
• Supercritical elliptic problems in domains with small holes
• Nonlinear PDEs
• Global and local behavior of positive solutions of nonlinear elliptic equations
• MULTI-BUBBLE SOLUTIONS FOR SLIGHTLY SUPER-CRITICAL ELLIPTIC PROBLEMS IN DOMAINS WITH SYMMETRIES
• Elliptic equations with nonlinear absorption depending on the solution and its gradient
• PERTURBING SINGULAR SOLUTIONS OF THE GELFAND PROBLEM
• Remarks on some quasilinear equations with gradient terms and measure data
• The Supercritical Lane–Emden–Fowler Equation in Exterior Domains
• Boundary singularities of positive solutions of quasilinear Hamilton-Jacobi equations

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