Thresholds for the existence of solutions to inhomogeneous elliptic equations with general exponential nonlinearity
DOI10.1515/ANONA-2021-0220zbMath1485.35235OpenAlexW4214620847WikidataQ115514508 ScholiaQ115514508MaRDI QIDQ2117409
Kazuhiro Ishige, Shinya Okabe, Tokushi Sato
Publication date: 21 March 2022
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/anona-2021-0220
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
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Cites Work
- Multiplicity and uniqueness of positive solutions for nonhomogeneous semilinear elliptic equation with critical exponent
- Multiple positive solutions of fractional elliptic equations involving concave and convex nonlinearities in \(\mathbb R^N\)
- Elliptic equations and systems with critical Trudinger-Moser nonlinearities
- Singular positive solutions for a fourth order elliptic problem in \(\mathbb R^N\)
- Non-homogeneous semilinear elliptic equations involving critical Sobolev exponent
- Existence of multiple solutions for a nonhomogeneous semilinear elliptic equation involving critical exponent
- Exactly two entire positive solutions for a class of nonhomogeneous elliptic equations.
- Positive solutions for semilinear elliptic equations with singular forcing terms
- On the classification of solutions of the Lane-Emden equation on unbounded domains of \(\mathbb R^N\)
- A nonhomogeneous elliptic problem involving critical growth in dimension two
- Supercritical elliptic problems from a perturbation viewpoint
- Multiplicity and bifurcation of positive solutions for nonhomogeneous semilinear elliptic problems
- A perturbation result on positive entire solutions of a semilinear elliptic equation
- Two positive solutions for a class of nonhomogeneous elliptic equations
- Existence of multiple positive solutions for a semilinear elliptic equation
- On bounded and unbounded global solutions of a supercritical semilinear heat equation
- Solutions of supercritical semilinear non-homogeneous elliptic problems
- A limit equation and bifurcation diagrams of semilinear elliptic equations with general supercritical growth
- Existence and bifurcation of the positive solutions for a semilinear equation with critical exponent
- A supercritical scalar field equation with a forcing term
- Classification of bifurcation diagrams for elliptic equations with exponential growth in a ball
- Local behavior of solutions of quasi-linear equations
- Existence and properties of multiple positive solutions for semi-linear equations with critical exponents
- Quasilinear Dirichlet problems driven by positive sources
- Multiplicity of solutions for a class of quasilinear equations with exponential critical growth
- On the superlinear Ambrosetti-Prodi problem
- Multiple entire solutions of a semilinear elliptic equation
- Existence of multiple positive solutions of inhomogeneous semilinear elliptic problems in unbounded domains
- On the stability and instability of positive steady states of a semilinear heat equation in ℝn
- Existence of entire positive solutions for nonhomogeneous elliptic equations
- Infinitely many non-radial singular solutions of
- Multiple positive solutions of nonhomogeneous semilinear elliptic equations in ℝN
- Multiple existence of solutions for a nonhomogeneous elliptic problem with critical exponent on \(\mathbb R^N\)
- Further study on a nonlinear heat equation
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