On a class of elliptic equations with critical perturbations in the hyperbolic space
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Publication:6614928
DOI10.3233/ASY-241895MaRDI QIDQ6614928
Diksha Gupta, K. Sreenadh, Debdip Ganguly
Publication date: 8 October 2024
Published in: Asymptotic Analysis (Search for Journal in Brave)
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61)
Cites Work
- Title not available (Why is that?)
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- Title not available (Why is that?)
- Title not available (Why is that?)
- Semilinear elliptic equations for beginners. Existence results via the variational approach
- Nonlinear scalar field equations. II: Existence of infinitely many solutions
- Nonlinear scalar field equations. I: Existence of a ground state
- On a min-max procedure for the existence of a positive solution for certain scalar field equations in \({\mathbb{R}}^ N\)
- Infinitely many positive solutions of nonlinear Schrödinger equations
- Some nonlinear elliptic problems in unbounded domains
- Existence of positive solutions of the equation \(-\Delta u+a(x)u=u^{(N+2)/(N-2)}\) in \({\mathbb{R}}^ N\)
- A perturbation result on positive entire solutions of a semilinear elliptic equation
- The effect of the domain shape on the existence of positive solutions of the equation \(\Delta u + u^{2^*-1}= 0\)
- On the existence of a positive solution of semilinear elliptic equations in unbounded domains
- Two positive solutions for a class of nonhomogeneous elliptic equations
- Concentration phenomena in elliptic problems with critical and supercritical growth.
- Nonlinear elliptic equations with critical Sobolev exponent in nearly starshaped domains
- Four positive solutions for the semilinear elliptic equation: \(-\Delta u+u=a(x) u^p +f(x)\) in \(\mathbb{R}^N\)
- Multiple positive solutions of some elliptic equations in \(\mathbb{R}^N\)
- Infinitely many bound states for some nonlinear scalar field equations
- Some existence results for superlinear elliptic boundary value problems involving critical exponents
- On the existence of positive entire solutions of a semilinear elliptic equation
- On the variational principle
- Some sufficient conditions for the existence of positive solutions to the equation \(-\Delta u + a(x)u = u^{2^* -1}\) in bounded domains
- Positive solutions for autonomous and non-autonomous nonlinear critical elliptic problems in unbounded domains
- Nonlinear scalar field equations: existence of a positive solution with infinitely many bumps
- Multiplicity of solutions of nonlinear scalar field equations
- Poincaré-Sobolev equations in the hyperbolic space
- Three nodal solutions of singularly perturbed elliptic equations on domains without topology
- Existence of high energy-positive solutions for a class of elliptic equations in the hyperbolic space
- Multiple Solutions of Nonlinear Scalar Field Equations
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- On a semilinear elliptic equation in Hn
- A Perturbation Method in Critical Point Theory and Applications
- Homoclinic type solutions for a semilinear elliptic PDE on ℝn
- A POSITIVE SOLUTION OF A NONHOMOGENEOUS ELLIPTIC EQUATION IN RNWITHG-INVARIANT NONLINEARITY
- On Some Scalar Field Equations with Competing Coefficients
- Multiple positive solutions of nonhomogeneous semilinear elliptic equations in ℝN
- Infinitely Many Positive Solutions to Some Scalar Field Equations with Nonsymmetric Coefficients
- Positive solutions for a class of nonlinear elliptic problems in RN
- Existence and Multiplicity Results for Some Scalar Fields Equations
- Multispike Solutions of Nonlinear Elliptic Equations with Critical Sobolev Exponent
- Existence of positive solutions for a class of nonhomogeneous elliptic equations in \({\mathbb R}^N\)
- A sharp quantitative isoperimetric inequality in hyperbolic \(n\)-space
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