Boundary bubbling solutions for a planar elliptic problem with exponential Neumann data

DOI10.3934/dcds.2017238zbMath1384.35021OpenAlexW2729919656MaRDI QIDQ2362313

Yibin Zhang, Hai-Tao Yang

Publication date: 7 July 2017

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2017238

zbMATH Keywords

nonlinear Neumann boundary conditionsecond order linear elliptic equationboundary bubbling solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65)

Related Items (1)

The Lazer-McKenna conjecture for an anisotropic planar elliptic problem with exponential Neumann data

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence and multiplicity of solutions for elliptic equations with jumping nonlinearities
• The two-dimensional Lazer-McKenna conjecture for an exponential nonlinearity
• The Lazer-McKenna conjecture for an elliptic problem with critical growth
• Lazer-McKenna conjecture: the critical case
• Concentrating phenomena in some elliptic Neumann problem: asymptotic behavior of solutions
• On the superlinear Lazer-McKenna conjecture: the non-homogeneous case
• The critical Lazer-McKenna conjecture in low dimensions
• Multiple solutions for a class of elliptic equations with jumping nonlinearities
• Multiple boundary bubbling phenomenon of solutions to a Neumann problem
• On the Lazar-McKenna conjecture involving critical and supercritical exponents
• On the number of solutions of a nonlinear Dirichlet problem
• Construction of singular limits for a semilinear elliptic equation in dimension 2
• Classification of conformal metrics on \(\mathbb R^2_+\) with constant Gauss curvature and geodesic curvature on the boundary under various integral finiteness assumptions
• Multiple solutions for a semilinear boundary value problem: a computational multiplicity proof.
• On the existence of blowing-up solutions for a mean field equation
• On the superlinear Lazer-McKenna conjecture
• On the inversion of some differentiable mappings with singularities between Banach spaces
• Uniqueness theorems through the method of moving spheres
• Singular limits in Liouville-type equations
• The Lazer-McKenna conjecture for an elliptic problem with critical growth. II
• Concentrating solutions in a two-dimensional elliptic problem with exponential Neumann data
• Elliptic equations with jumping nonlinearities involving high eigenvalues
• NON-RADIALLY SYMMETRIC SOLUTIONS FOR A SUPERLINEAR AMBROSETTI–PRODI TYPE PROBLEM IN A BALL
• The Lazer-McKenna conjecture and a free boundary problem in two dimensions
• Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e^uin two dimensions
• Topological degree for a mean field equation on Riemann surfaces
• A uniqueness theorem for harmonic functions on the upper-half plane
• On the existence and ‘blow-up’ of solutions to a two-dimensional nonlinear boundary-value problem arising in corrosion modelling
• On a stronger Lazer-McKenna conjecture for Ambrosetti-Prodi type problems
• Blow-up behavior of Planar Harmonic Functions Satisfying a Certain Exponential Neumann Boundary Condition
• On the Superlinear Lazer–McKenna Conjecture: Part II
• Bubbling solutions for an anisotropic Emden-Fowler equation
• Convergence for a Liouville equation

This page was built for publication: Boundary bubbling solutions for a planar elliptic problem with exponential Neumann data