Nodal solutions for supercritical Laplace equations
From MaRDI portal
Publication:330894
DOI10.1007/s00220-015-2546-yzbMath1433.35132OpenAlexW2276734360MaRDI QIDQ330894
Francesca Dalbono, Matteo Franca
Publication date: 26 October 2016
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10447/173512
radial solutionsSobolev critical exponentFowler transformationinvariant manifold theorysemilinear equation with Laplacian
Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Axially symmetric solutions to PDEs (35B07)
Related Items
New global bifurcation diagrams for piecewise smooth systems: transversality of homoclinic points does not imply chaos ⋮ Positive radial solutions involving nonlinearities with zeros ⋮ Structure results for semilinear elliptic equations with Hardy potentials ⋮ Entire solutions of superlinear problems with indefinite weights and Hardy potentials ⋮ Corrigendum and addendum to: ``Non-autonomous quasilinear elliptic equations and Ważewski's principle ⋮ On the structure of radial solutions for some quasilinear elliptic equations ⋮ Unnamed Item ⋮ Multiplicity of ground states for the scalar curvature equation ⋮ Multiplicity of radial ground states for the scalar curvature equation without reciprocal symmetry
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Positive solutions for semilinear elliptic equations: Two simple models with several bifurcations
- Structure of positive radial solutions of semilinear elliptic equations
- Concerning a theorem of sell
- Structure of positive radial solutions including singular solutions to Matukuma's equation
- Local and global behaviour of solutions of quasilinear equations of Emden-Fowler type
- On the complex structure of positive solutions to Matukuma-type equations
- Fowler transformation and radial solutions for quasilinear elliptic equations. II: Nonlinearities of mixed type
- On Matukuma's equation and related topics
- Existence of positive entire solutions of some semilinear elliptic equations
- Classification of the structure of positive radial solutions to \(\Delta u+K(| x|)u^ p=0\) in \(\mathbb{R}^ n\)
- Bounded solutions with prescribed numbers of zeros for the Emden-Fowler differential equation
- Existence of positive radial solutions to \(\Delta u+K(| x| )u^ p=0\) in \(\mathbb R^ n\)
- Infinitely many radial solutions to a boundary value problem in a ball
- Ground states of semilinear elliptic equations: A geometric approach
- Symmetry of ground states of quasilinear elliptic equations
- Symmetry of ground states of \(p\)-Laplace equations via the moving plane method
- Existence of nodal fast-decay solutions to \(\text{div}(|\nabla u|^{m-2}\nabla u) + K(| x|)| u|^{q-1}u = 0\) in \(\mathbb{R}^ n\)
- On the structure of positive radial solutions to an equation containing a \(p\)-Laplacian with weight
- Positive solutions of semilinear elliptic equations: a dynamical approach
- Structure of the sets of regular and singular radial solutions for a semilinear elliptic equation
- Qualitative properties of ground states for singular elliptic equations with weights
- On the continuation of solutions of a certain non-linear differential equation
- Uniqueness of finite total curvatures and the structure of radial solutions for nonlinear elliptic equations
- Structure Theorems for Positive Radial Solutions of the Generalized Scalar Curvature Equation
- On the Infinitely Many Solutions of a Semilinear Elliptic Equation
- Semilinear elliptic equations of Matukuma-type and related topics
- Singular ground states of semilinear elliptic equations via invariant manifold theory
- Existence of nodal fast-decay solutions to Δu+K(|x|)|u|p−1u = 0 IN Rn
- Ground States and Singular Ground States for Quasilinear Partial Differential Equations with Critical Exponent in the Perturbative Case
- FURTHER STUDIES OF EMDEN'S AND SIMILAR DIFFERENTIAL EQUATIONS
- Structure of Radial Solutions to $\Delta u + K(|x|)|u|^{p - 1} u = 0$ in ${\bf R}^n $
- Invariant manifolds