Asymptotic behavior of least energy solutions to the Finsler Lane-Emden problem with large exponents

DOI10.3934/dcds.2022086zbMath1498.35261arXiv2108.07989OpenAlexW3193388175MaRDI QIDQ2171900

Habibi Sadaf, Futoshi Takahashi

Publication date: 12 September 2022

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

Full work available at URL: https://arxiv.org/abs/2108.07989

zbMATH Keywords

least energy solutionsLane-Emden problemFinsler Laplacian

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Cites Work

• A priori estimates and blow-up behavior for solutions of \(-Q_Nu = Ve^u\) in bounded domain in \(\mathbb R^N\)
• Gradient bounds and rigidity results for singular, degenerate, anisotropic partial differential equations
• Blow-up solutions for some nonlinear elliptic equations involving a Finsler-Laplacian
• Blow-up analysis of a Finsler-Liouville equation in two dimensions
• Overdetermined anisotropic elliptic problems
• Symmetrization with respect to the anisotropic perimeter and applications
• Regularity for a more general class of quasilinear equations
• Classification of solutions of some nonlinear elliptic equations
• Counting peaks of solutions to some quasilinear elliptic equations with large exponents
• Anisotropic motion by mean curvature in the context of Finsler geometry
• Convex symmetrization and applications
• Isoperimetric inequalities, Wulff shape and related questions for strongly nonlinear elliptic operators
• On the regularity of solutions in the Pucci-Serrin identity
• Existence and shape of the least energy solution of a fractional Laplacian
• Moser-Trudinger inequality involving the anisotropic Dirichlet norm \((\int_\Omega F^N(\nabla u) d x)^{\frac{1}{N}}\) on \(W_0^{1, N}(\Omega)\)
• Finsler Hardy-Kato's inequality
• Asymptotic behavior of least energy solutions for a 2D nonlinear Neumann problem with large exponent
• Applications of \(p\)-harmonic transplantation for functional inequalities involving a Finsler norm
• Symmetry results for critical anisotropic \(p\)-Laplacian equations in convex cones
• Asymptotic behavior of solutions of a biharmonic Dirichlet problem with large exponents
• Single-point condensation phenomena for a four-dimensional biharmonic Ren-Wei problem
• Local behavior of solutions of quasi-linear equations
• Asymptotic behavior of least energy solutions to a four-dimensional biharmonic semilinear problem
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Remarks on a Finsler-Laplacian
• Boundary regularity for solutions of degenerate elliptic equations
• A uniqueness proof for the Wulff Theorem
• Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e^uin two dimensions
• Crystalline variational problems
• On a Two-Dimensional Elliptic Problem with Large Exponent in Nonlinearity
• Asymptotic estimates for a two-dimensional problem with polynomial nonlinearity
• Anisotropic Hardy inequalities
• Single-point condensation and least-energy solutions
• Finsler Hardy inequalities

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