Bubbling on boundary submanifolds for a semilinear Neumann problem near high critical exponents
From MaRDI portal
Publication:255902
DOI10.3934/dcds.2016.36.3035zbMath1335.35037OpenAlexW2524013766MaRDI QIDQ255902
Fethi Mahmoudi, Monica Musso, Shengbing Deng
Publication date: 9 March 2016
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2016.36.3035
Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)
Related Items
Boundary separated and clustered layer positive solutions for an elliptic Neumann problem with large exponent, On spikes concentrating on lines for a Neumann superlinear Ambrosetti-Prodi type problem, Concentrating solutions for an anisotropic planar elliptic Neumann problem with Hardy-Hénon weight and large exponent
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bubbling on boundary submanifolds for the Lin-Ni-Takagi problem at higher critical exponents
- On spikes concentrating on line-segments to a semilinear Neumann problem
- Bubbling along boundary geodesics near the second critical exponent
- On the boundary spike layer solutions to a singularly perturbed Neumann problem
- Concentration at curves for a singularly perturbed Neumann problem in three-dimensional domains
- Foliations by constant mean curvature tubes
- Concentration on minimal submanifolds for a singularly perturbed Neumann problem
- Singularly perturbed nonlinear Neumann problems with a general nonlinearity
- Large amplitude stationary solutions to a chemotaxis system
- Neumann problems of semilinear elliptic equations involving critical Sobolev exponents
- A note on the Sobolev inequality
- Singular behavior of least-energy solutions of a semilinear Neumann problem involving critical Sobolev exponents
- Best constant in Sobolev inequality
- Multi-peak solutions for a semilinear Neumann problem involving the critical Sobolev exponent
- Locating the peaks of least-energy solutions to a semilinear Neumann problem
- Characterization of concentration points and \(L^ \infty\)-estimates for solutions of a semilinear Neumann problem involving the critical Sobolev exponent
- Existence of multipeak solutions for a semilinear Neumann problem via nonsmooth critical point theory
- Super-critical boundary bubbling in a semilinear Neumann problem
- Multipeak solutions for a singularly perturbed Neumann problem
- Multipeak solutions for a semilinear Neumann problem
- Multiple interior peak solutions for some singularly perturbed Neumann problems.
- Multidimensional boundary layers for a singularly perturbed Neumann problem
- On the existence of multipeaked solutions to a semilinear Neumann problem
- Interaction between the geometry of the boundary and positive solutions of a semilinear Neumann problem with critical nonlinearity
- Arbitrary number of positive solutions for an elliptic problem with critical nonlinearity
- Constant mean curvature hypersurfaces condensing on a submanifold
- On the Ambrosetti-Malchiodi-Ni conjecture for general submanifolds
- ON A SINGULARLY PERTURBED NEUMANN PROBLEM WITH THE CRITICAL EXPONENT
- Curve-Like Concentration Layers for a Singularly Perturbed Nonlinear Problem with Critical Exponents
- Triple Junction Solutions for a Singularly Perturbed Neumann Problem
- On the number of interior peak solutions for a singularly perturbed Neumann problem
- Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
- On the shape of least‐energy solutions to a semilinear Neumann problem
- The role of the mean curvature in semilinear neumann problem involving critical exponent
- On neumann problems for semilinear elliptic equations with critical nonlinearity:existance and symmetry of multi—peaked solutions1
- On a singularly perturbed equation with neumann boundary condition
- AN ELLIPTIC NEUMANN PROBLEM WITH CRITICAL NONLINEARITY IN THREE DIMENSIONAL DOMAINS
- Estimates for boundary-bubbling solutions to an elliptic Neumann problem
- On the Role of Mean Curvature in Some Singularly Perturbed Neumann Problems
- Spike-layered solutions of singularly perturbed elliptic problems in a degenerate setting
- Locating the peaks of solutions via the maximum principle: I. The Neumann problem
- Boundary concentration phenomena for a singularly perturbed elliptic problem
- High-energy and multi-peaked solutions for a nonlinear Neumann problem with critical exponents
- A Neumann problem with critical exponent in nonconvex domains and Lin-Ni’s conjecture
- Solutions to the nonlinear Schrödinger equation carrying momentum along a curve
