Concentrating solutions for a two-dimensional elliptic problem with large exponent in weighted nonlinearity

DOI10.1080/17476933.2013.809571zbMath1348.35063OpenAlexW2145099083MaRDI QIDQ5419442

Yibin Chang, Hai-Tao Yang

Publication date: 6 June 2014

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2013.809571

zbMATH Keywords

finite dimensional reductionconcentrating solutionslarge exponent

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Positive solutions to PDEs (35B09)

Related Items (1)

Multi-peak nodal solutions for a two-dimensional elliptic problem with large exponent in weighted nonlinearity

Cites Work

• Unnamed Item
• Multiple blowing-up and concentrating solutions for Liouville-type equations with singular sources under mixed boundary conditions
• Multiplicity of solutions to the Dirichlet problem for generalized Hénon equation
• On the Hénon equation: asymptotic profile of ground states. I.
• Multi-peak solutions for the Hénon equation with slightly subcritical growth
• Concentrating solutions for the Hénon equation in \(\mathbb R^{2}\)
• Symmetry and related properties via the maximum principle
• Classification of solutions of some nonlinear elliptic equations
• Qualitative properties of solutions to some nonlinear elliptic equations in \(\mathbb{R}^2\)
• Construction of singular limits for a semilinear elliptic equation in dimension 2
• The asymptotic behaviour of the ground state solutions for Hénon equation.
• On the location of a peak point of a least energy solution for Hénon equation
• Singular limits in Liouville-type equations
• Multiple boundary concentrating solutions to Dirichlet problem of Hénon equation
• Concentrating solutions for a planar elliptic problem involving nonlinearities with large exponent
• On the Hénon equation: asymptotic profile of ground states. II
• Non radial positive solution for the Hénon equation with critical growth
• On a class of elliptic problems in R²: symmetry and uniqueness results
• Two-dimensional Euler flows with concentrated vorticities
• Nondegeneracy of entire solutions of a singular Liouvillle equation
• NON-RADIAL GROUND STATES FOR THE HÉNON EQUATION
• On the existence and profile of nodal solutions for a two-dimensional elliptic problem with large exponent in nonlinearity
• Asymptotic estimates for a two-dimensional problem with polynomial nonlinearity
• Asymptotic Estimates and Qualitative Properties of an Elliptic Problem in Dimension Two
• Sharp estimates for solutions of multi‐bubbles in compact Riemann surfaces
• Single-point condensation and least-energy solutions
• Blowup Solutions for a Liouville Equation with Singular Data
• ALGORITHMS AND VISUALIZATION FOR SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS
• Convergence for a Liouville equation

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