Nonlinear Liouville theorems and a priori estimates for indefinite superlinear elliptic equations
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Publication:2504055
zbMath1161.35388MaRDI QIDQ2504055
Publication date: 22 September 2006
Published in: Advances in Differential Equations (Search for Journal in Brave)
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Existence of a positive solution and numerical solution for some elliptic superlinear problem ⋮ Indefinite fractional elliptic problem and Liouville theorems ⋮ The uniqueness of the linearly stable positive solution for a class of superlinear indefinite problems with nonhomogeneous boundary conditions ⋮ Liouville-type theorem for a nonlinear degenerate parabolic system of inequalities ⋮ Local and global bifurcation results for a semilinear boundary value problem ⋮ Quasilinear equations with indefinite nonlinearity ⋮ A new method of proving a priori bounds for superlinear elliptic PDE ⋮ Nonexistence of solutions to fractional parabolic problem with general nonlinearities ⋮ A priori bounds, nodal equilibria and connecting orbits in indefinite superlinear parabolic problems ⋮ Structure of solutions set of nonlinear eigenvalue problems ⋮ Multiplicity of positive solutions to boundary blow-up elliptic problems with sign-changing weights ⋮ Pointwise estimates for systems of coupled \(p\)-Laplacian elliptic equations ⋮ Multiplicity of positive solutions to boundary blow-up problem with variable exponent and sign-changing weights ⋮ A Liouville theorem for conformal Gaussian curvature type equations in \({\mathbb{R}}^2\) ⋮ Positive solutions of superlinear indefinite prescribed mean curvature problems ⋮ Nonexistence of solutions for indefinite fractional parabolic equations ⋮ A priori bounds for an indefinite superlinear elliptic equation with exponential growth ⋮ A priori bounds for superlinear elliptic equations with semidefinite nonlinearity ⋮ Liouville theorems, a priori estimates, and blow-up rates for solutions of indefinite superlinear parabolic problems ⋮ Branch continuation inside the essential spectrum for the nonlinear Schrödinger equation ⋮ A Liouville theorem for indefinite fractional diffusion equations and its application to existence of solutions ⋮ A Liouville-type theorem and the decay of radial solutions of a semilinear heat equation ⋮ Multiple solutions for an indefinite superlinear elliptic problem on \(\mathbb R^N\) ⋮ Morse theory for indefinite nonlinear elliptic problems ⋮ Liouville-type theorems and existence results for stable solutions to weighted Lane–Emden equations ⋮ Positive supersolutions of fourth-order nonlinear elliptic equations: explicit estimates and Liouville theorems ⋮ Bifurcation results for a Kirchhoff type problem involving sign-changing weight functions ⋮ The blow-up rate for positive solutions of indefinite parabolic problems and related Liouville type theorems ⋮ Existence and Liouville-type theorems for some indefinite quasilinear elliptic problems with potentials vanishing at infinity
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