Regular versus singular solutions in quasilinear indefinite problems with sublinear potentials

DOI10.1016/j.jde.2023.06.034arXiv2111.14215OpenAlexW3216706673MaRDI QIDQ6073614

Publication date: 18 September 2023

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.14215

zbMATH Keywords

Neumann boundary condition positive solution curvature operator bounded variation solution quasilinear indefinite problem regular or singular solution

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Multiplicity of positive periodic solutions in the superlinear indefinite case via coincidence degree
Existence and regularity for the problem of a pendent liquid drop
Existence and multiplicity results for the prescribed mean curvature equation via lower and upper solutions.
Positive solutions of a one-dimensional indefinite capillarity-type problem: a variational approach
Regular versus singular solutions in a quasilinear indefinite problem with an asymptotically linear potential
Global \(C^{1,1}\)-regularity for solutions of quasilinear variational inequalities
On the existence of positive eigenfunctions for an eigenvalue problem with indefinite weight function
The sessile liquid drop. I: Symmetric case
Boundary value problems for surfaces of prescribed mean curvature
A priori bounds and multiple solutions for superlinear indefinite elliptic problems
The effect of varying coefficients on the dynamics of a class of superlinear indefinite reaction-diffusion equations
A prescribed anisotropic mean curvature equation modeling the corneal shape: a paradigm of nonlinear analysis
Spatially heterogeneous Lotka-Volterra competition
Relaxation of the non-parametric Plateau problem with an obstacle
The uniqueness of the stable positive solution for a class of superlinear indefinite reaction diffusion equations.
On a modified capillary equation
Multiple solutions of quasilinear equations involving an area-type term
Existence, regularity and stability properties of periodic solutions of a capillarity equation in the presence of lower and upper solutions
Existence, regularity and boundary behaviour of bounded variation solutions of a one-dimensional capillarity equation
Characterizing the formation of singularities in a superlinear indefinite problem related to the mean curvature operator
The Picone identity: a device to get optimal uniqueness results and global dynamics in population dynamics
Revisiting the sub- and super-solution method for the classical radial solutions of the mean curvature equation
Asymmetric Poincaré inequalities and solvability of capillarity problems
Capillary surfaces over obstacles
Global components of positive bounded variation solutions of a one-dimensional indefinite quasilinear Neumann problem
Bifurcation of positive solutions for a one-dimensional indefinite quasilinear Neumann problem
Classical and non-classical solutions of a prescribed curvature equation
Two-point boundary value problems. Lower and upper solutions
Una maggiorazione a priori relativa alle ipersuperfici minimali non parametriche
Some global results for nonlinear eigenvalue problems
Bifurcation from simple eigenvalues
Solutions généralisées de certaines équations du type hypersurfaces minima
On a class of capillary surfaces
The Dirichlet problem for a prescribed anisotropic mean curvature equation: existence, uniqueness and regularity of solutions
Subharmonic solutions of the prescribed curvature equation
Steady state solutions of a bi-stable quasi-linear equation with saturating flux
A bifurcation problem for a quasi-linear elliptic boundary value problem
The Euler Equation for Functionals with Linear Growth
A Prescribed Mean Curvature Problem on Domains without Radial Symmetry
Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
Some Existence Results on Nontrivial Solutions of the Prescribed Mean Curvature Equation
Linear Second Order Elliptic Operators
Global bifurcation diagrams of positive solutions for a class of 1D superlinear indefinite problems*
On reaction processes with saturating diffusion
The problem of dirichlet for quasilinear elliptic differential equations with many independent variables
Local estimates for gradients of solutions of non‐uniformly elliptic and parabolic equations

This page was built for publication: Regular versus singular solutions in quasilinear indefinite problems with sublinear potentials